Search a number
-
+
22223314120240 = 2452935354150159
BaseRepresentation
bin1010000110110010001001…
…01111100110111000110000
32220200112020222020001200001
411003121010233212320300
510403101321403321430
6115133125523435344
74452403304153002
oct503310457467060
986615228201601
1022223314120240
117098944507692
1225ab03ab25b54
13c5285a02929c
1456b8852c8372
1528812ce953ca
hex143644be6e30

22223314120240 has 160 divisors (see below), whose sum is σ = 53702471750400. Its totient is φ = 8542493245440.

The previous prime is 22223314120219. The next prime is 22223314120291. The reversal of 22223314120240 is 4202141332222.

It is a junction number, because it is equal to n+sod(n) for n = 22223314120199 and 22223314120208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443032281 + ... + 443082439.

It is an arithmetic number, because the mean of its divisors is an integer number (335640448440).

Almost surely, 222223314120240 is an apocalyptic number.

22223314120240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22223314120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26851235875200).

22223314120240 is an abundant number, since it is smaller than the sum of its proper divisors (31479157630160).

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

22223314120240 is a wasteful number, since it uses less digits than its factorization.

22223314120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51095 (or 51089 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22223314120240 its reverse (4202141332222), we get a palindrome (26425455452462).

The spelling of 22223314120240 in words is "twenty-two trillion, two hundred twenty-three billion, three hundred fourteen million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 353 464 541 580 706 1082 1160 1412 1765 2164 2320 2705 2824 3530 4328 5410 5648 7060 8656 10237 10820 14120 15689 20474 21640 28240 31378 40948 43280 50159 51185 62756 78445 81896 100318 102370 125512 156890 163792 190973 200636 204740 250795 251024 313780 381946 401272 409480 501590 627560 763892 802544 818960 954865 1003180 1255120 1454611 1527784 1909730 2006360 2909222 3055568 3819460 4012720 5538217 5818444 7273055 7638920 11076434 11636888 14546110 15277840 17706127 22152868 23273776 27136019 27691085 29092220 35412254 44305736 54272038 55382170 58184440 70824508 88530635 88611472 108544076 110764340 116368880 135680095 141649016 177061270 217088152 221528680 271360190 283298032 354122540 434176304 443057360 513477683 542720380 708245080 786944551 1026955366 1085440760 1416490160 1573889102 2053910732 2170881520 2567388415 3147778204 3934722755 4107821464 5134776830 6295556408 7869445510 8215642928 9579014707 10269553660 12591112816 15738891020 19158029414 20539107320 31477782040 38316058828 41078214640 47895073535 62955564080 76632117656 95790147070 153264235312 191580294140 277791426503 383160588280 555582853006 766321176560 1111165706012 1388957132515 2222331412024 2777914265030 4444662824048 5555828530060 11111657060120 22223314120240