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202221444122204 = 2213174121259108089
BaseRepresentation
bin101101111110101101011001…
…010101111100011001011100
3222112000011220010122212112012
4231332231121111330121130
5203001144004143402304
61554031125434330352
760411005620643363
oct5576553125743134
9875004803585465
10202221444122204
11594856a6339781
121a81ba545899b8
1388ab528776710
1437d17da5967da
15185a39ce1a16e
hexb7eb5957c65c

202221444122204 has 144 divisors (see below), whose sum is σ = 413942406544800. Its totient is φ = 85631429591040.

The previous prime is 202221444122183. The next prime is 202221444122279. The reversal of 202221444122204 is 402221444122202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870824992 + ... + 1870933080.

It is an arithmetic number, because the mean of its divisors is an integer number (2874600045450).

Almost surely, 2202221444122204 is an apocalyptic number.

It is an amenable number.

202221444122204 is an abundant number, since it is smaller than the sum of its proper divisors (211720962422596).

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

202221444122204 is a wasteful number, since it uses less digits than its factorization.

202221444122204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109464 (or 109421 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 202221444122204 its reverse (402221444122202), we get a palindrome (604442888244406).

The spelling of 202221444122204 in words is "two hundred two trillion, two hundred twenty-one billion, four hundred forty-four million, one hundred twenty-two thousand, two hundred four".

Divisors: 1 2 4 13 17 26 34 41 52 68 82 164 221 442 533 697 884 1066 1259 1394 1681 2132 2518 2788 3362 5036 6724 9061 16367 18122 21403 21853 28577 32734 36244 42806 43706 51619 57154 65468 85612 87412 103238 108089 114308 206476 216178 278239 371501 432356 556478 671047 743002 877523 1112956 1342094 1405157 1486004 1755046 1837513 2116379 2684188 2810314 3510092 3675026 4232758 4431649 5620628 7350052 8465516 8863298 11407799 17726596 22815598 23887669 27512927 35978443 45631196 47775338 55025854 57611437 71956886 75338033 95550676 110051708 115222874 136084051 143913772 150676066 181697609 230445748 272168102 301352132 363395218 467719759 544336204 726790436 935439518 979394429 1769092663 1870879036 1958788858 2313428867 2362068917 3088859353 3538185326 3917577716 4626857734 4724137834 5579446091 6177718706 7076370652 9253715468 9448275668 11158892182 12355437412 22317784364 30074575271 40155171589 60149150542 72532799183 80310343178 94850583547 120298301084 145065598366 160620686356 189701167094 228757289731 290131196732 379402334188 457514579462 915029158924 1233057586111 2466115172222 2973844766503 3888873925427 4932230344444 5947689533006 7777747850854 11895379066012 15555495701708 50555361030551 101110722061102 202221444122204