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22004503554 = 231117192414283
BaseRepresentation
bin10100011111100100…
…100001010000000010
32002210112100121012010
4110133210201100002
5330031123103204
614035252513350
71406202123405
oct243744412002
962715317163
1022004503554
119371a72230
12432131b856
1320c8a6ab07
1410ca5d3d3c
1588bc1cd89
hex51f921402

22004503554 has 128 divisors (see below), whose sum is σ = 53743979520. Its totient is φ = 5919436800.

The previous prime is 22004503531. The next prime is 22004503561. The reversal of 22004503554 is 45530540022.

It is a super-5 number, since 5×220045035545 (a number of 53 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5135497 + ... + 5139779.

It is an arithmetic number, because the mean of its divisors is an integer number (419874840).

Almost surely, 222004503554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22004503554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871989760).

22004503554 is an abundant number, since it is smaller than the sum of its proper divisors (31739475966).

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

22004503554 is a wasteful number, since it uses less digits than its factorization.

22004503554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576.

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 22004503554 in words is "twenty-two billion, four million, five hundred three thousand, five hundred fifty-four".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 241 323 374 418 482 561 627 646 723 969 1122 1254 1446 1938 2651 3553 4097 4283 4579 5302 7106 7953 8194 8566 9158 10659 12291 12849 13737 15906 21318 24582 25698 27474 45067 47113 50369 72811 77843 81377 90134 94226 100738 135201 141339 145622 151107 155686 162754 218433 233529 244131 270402 282678 302214 436866 467058 488262 800921 856273 895147 1032203 1383409 1601842 1712546 1790294 2064406 2402763 2568819 2685441 2766818 3096609 4150227 4805526 5137638 5370882 6193218 8300454 11354233 15217499 17547451 19611857 22708466 30434998 34062699 35094902 39223714 45652497 52642353 58835571 68125398 91304994 105284706 117671142 193021961 215730427 333401569 386043922 431460854 579065883 647191281 666803138 1000204707 1158131766 1294382562 2000409414 3667417259 7334834518 11002251777 22004503554