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15055400022 = 23131789193661
BaseRepresentation
bin11100000010101111…
…10010110001010110
31102212020101120020020
432001113302301112
5221313140300042
610525533250010
71042041534345
oct160127626126
942766346206
1015055400022
116426420963
122b02033906
13155c175330
14a2b725b5c
155d1b093ec
hex3815f2c56

15055400022 has 128 divisors (see below), whose sum is σ = 34952964480. Its totient is φ = 4282122240.

The previous prime is 15055399999. The next prime is 15055400029. The reversal of 15055400022 is 22000455051.

It is a happy number.

15055400022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15055399965 and 15055400001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15055400029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22776372 + ... + 22777032.

It is an arithmetic number, because the mean of its divisors is an integer number (273070035).

Almost surely, 215055400022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15055400022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476482240).

15055400022 is an abundant number, since it is smaller than the sum of its proper divisors (19897564458).

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

15055400022 is a wasteful number, since it uses less digits than its factorization.

15055400022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 2000, while the sum is 24.

Adding to 15055400022 its reverse (22000455051), we get a palindrome (37055855073).

The spelling of 15055400022 in words is "fifteen billion, fifty-five million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 89 102 178 193 221 267 386 442 534 579 661 663 1157 1158 1322 1326 1513 1983 2314 2509 3026 3281 3471 3966 4539 5018 6562 6942 7527 8593 9078 9843 11237 15054 17177 17186 19669 19686 22474 25779 33711 34354 39338 42653 51531 51558 58829 59007 67422 85306 103062 117658 118014 127573 127959 146081 176487 223301 255146 255918 292009 292162 352974 382719 438243 446602 584018 669903 764777 765438 876027 876486 1000093 1339806 1529554 1658449 1752054 2000186 2168741 2294331 3000279 3316898 3796117 4337482 4588662 4975347 6000558 6506223 7592234 9950694 11353997 11388351 13001209 13012446 22707994 22776702 26002418 28193633 34061991 39003627 56387266 68123982 78007254 84580899 147601961 169161798 193017949 295203922 386035898 442805883 579053847 885611766 1158107694 2509233337 5018466674 7527700011 15055400022