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155226002304 = 27317173313721
BaseRepresentation
bin1001000010010000110…
…0001101001110000000
3112211122222002221022110
42100210030031032000
510020400324033204
6155150531535320
714133434151402
oct2204414151600
9484588087273
10155226002304
115a91603901a
1226100a5a540
131183a19a809
147727882b72
1540877c9889
hex242430d380

155226002304 has 128 divisors (see below), whose sum is σ = 436856885280. Its totient is φ = 48666705920.

The previous prime is 155226002297. The next prime is 155226002311. The reversal of 155226002304 is 403200622551.

It is an interprime number because it is at equal distance from previous prime (155226002297) and next prime (155226002311).

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

It is a super-2 number, since 2×1552260023042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11306164 + ... + 11319884.

Almost surely, 2155226002304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155226002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218428442640).

155226002304 is an abundant number, since it is smaller than the sum of its proper divisors (281630882976).

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

155226002304 is a wasteful number, since it uses less digits than its factorization.

155226002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15488 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 155226002304 its reverse (403200622551), we get a palindrome (558426624855).

The spelling of 155226002304 in words is "one hundred fifty-five billion, two hundred twenty-six million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 1733 2176 3264 3466 5199 6528 6932 10398 13721 13864 20796 27442 27728 29461 41163 41592 54884 55456 58922 82326 83184 88383 109768 110912 117844 164652 166368 176766 219536 221824 233257 235688 329304 332736 353532 439072 466514 471376 658608 665472 699771 707064 878144 933028 942752 1317216 1399542 1414128 1756288 1866056 1885504 2634432 2799084 2828256 3732112 3771008 5268864 5598168 5656512 7464224 11196336 11313024 14928448 22392672 23778493 29856896 44785344 47556986 71335479 89570688 95113972 142670958 190227944 285341916 380455888 404234381 570683832 760911776 808468762 1141367664 1212703143 1521823552 1616937524 2282735328 2425406286 3043647104 3233875048 4565470656 4850812572 6467750096 9130941312 9701625144 12935500192 19403250288 25871000384 38806500576 51742000768 77613001152 155226002304