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200440422211320 = 23345138834456121
BaseRepresentation
bin101101100100110010101100…
…001010100001111011111000
3222021200220202122201112010000
4231210302230022201323320
5202233003441041230240
61550145020405553000
760135225342330234
oct5544625412417370
9867626678645100
10200440422211320
115895933a95a365
121a592843a15760
1387ac5b2299b55
14376d52249b5c4
151828dae56e430
hexb64cac2a1ef8

200440422211320 has 160 divisors (see below), whose sum is σ = 673751208564720. Its totient is φ = 53446917173760.

The previous prime is 200440422211247. The next prime is 200440422211331. The reversal of 200440422211320 is 23112224044002.

It is a happy number.

200440422211320 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 0 + 422 + 211 + 3 + 20 = 666.

200440422211320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2004404222113202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42752860 + ... + 47208980.

Almost surely, 2200440422211320 is an apocalyptic number.

200440422211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200440422211320 is an abundant number, since it is smaller than the sum of its proper divisors (473310786353400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200440422211320 is a wasteful number, since it uses less digits than its factorization.

200440422211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470027 (or 4470014 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 200440422211320 its reverse (23112224044002), we get a palindrome (223552646255322).

The spelling of 200440422211320 in words is "two hundred trillion, four hundred forty billion, four hundred twenty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 13883 27766 41649 55532 69415 83298 111064 124947 138830 166596 208245 249894 277660 333192 374841 416490 499788 555320 624735 749682 832980 999576 1124523 1249470 1499364 1665960 1874205 2249046 2498940 2998728 3748410 4456121 4498092 4997880 5622615 7496820 8912242 8996184 11245230 13368363 14993640 17824484 22280605 22490460 26736726 35648968 40105089 44561210 44980920 53473452 66841815 80210178 89122420 106946904 120315267 133683630 160420356 178244840 200525445 240630534 267367260 320840712 360945801 401050890 481261068 534734520 601576335 721891602 802101780 962522136 1203152670 1443783204 1604203560 1804729005 2406305340 2887566408 3609458010 4812610680 7218916020 14437832040 61864327843 123728655686 185592983529 247457311372 309321639215 371185967058 494914622744 556778950587 618643278430 742371934116 927964917645 1113557901174 1237286556860 1484743868232 1670336851761 1855929835290 2227115802348 2474573113720 2783894752935 3340673703522 3711859670580 4454231604696 5011010555283 5567789505870 6681347407044 7423719341160 8351684258805 10022021110566 11135579011740 13362694814088 16703368517610 20044042221132 22271158023480 25055052776415 33406737035220 40088084442264 50110105552830 66813474070440 100220211105660 200440422211320