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222203043413120 = 2757114508990329
BaseRepresentation
bin110010100001011110101101…
…011110000111110010000000
31002010202101220010221111122002
4302201132231132013302000
5213111033313103204440
62104330400253403132
764542432362356160
oct6241365536076200
91063671803844562
10222203043413120
1164889866204720
1220b085317994a8
1396ca8707ca8c3
143cc2982aba5a0
151aa5027644115
hexca17ad787c80

222203043413120 has 128 divisors (see below), whose sum is σ = 662280499670400. Its totient is φ = 69258091438080.

The previous prime is 222203043413119. The next prime is 222203043413189. The reversal of 222203043413120 is 21314340302222.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254445885 + ... + 2254544444.

It is an arithmetic number, because the mean of its divisors is an integer number (5174066403675).

Almost surely, 2222203043413120 is an apocalyptic number.

222203043413120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222203043413120 is an abundant number, since it is smaller than the sum of its proper divisors (440077456257280).

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

222203043413120 is a wasteful number, since it uses less digits than its factorization.

222203043413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508990366 (or 4508990354 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 222203043413120 its reverse (21314340302222), we get a palindrome (243517383715342).

The spelling of 222203043413120 in words is "two hundred twenty-two trillion, two hundred three billion, forty-three million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 49280 4508990329 9017980658 18035961316 22544951645 31562932303 36071922632 45089903290 49598893619 63125864606 72143845264 90179806580 99197787238 126251729212 144287690528 157814661515 180359613160 198395574476 247994468095 252503458424 288575381056 315629323030 347192255333 360719226320 396791148952 495988936190 505006916848 577150762112 631258646060 694384510666 721438452640 793582297904 991977872380 1010013833696 1262517292120 1388769021332 1442876905280 1587164595808 1735961276665 1983955744760 2020027667392 2525034584240 2777538042664 2885753810560 3174329191616 3471922553330 3967911489520 4040055334784 5050069168480 5555076085328 6348658383232 6943845106660 7935822979040 10100138336960 11110152170656 13887690213320 15871645958080 20200276673920 22220304341312 27775380426640 31743291916160 44440608682624 55550760853280 111101521706560 222203043413120