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221130134432 = 25192394613301
BaseRepresentation
bin1100110111110001100…
…0100001001110100000
3210010202221100201201222
43031330120201032200
512110333303300212
6245330310114212
721655545062324
oct3157430411640
9703687321658
10221130134432
1185865217a19
1236a3404b968
1317b10b989bc
14a9ba50b984
155b43529c72
hex337c6213a0

221130134432 has 96 divisors (see below), whose sum is σ = 461318457600. Its totient is φ = 104049792000.

The previous prime is 221130134429. The next prime is 221130134441. The reversal of 221130134432 is 234431031122.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66987182 + ... + 66990482.

It is an arithmetic number, because the mean of its divisors is an integer number (4805400600).

Almost surely, 2221130134432 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 221130134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230659228800).

221130134432 is an abundant number, since it is smaller than the sum of its proper divisors (240188323168).

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

221130134432 is a wasteful number, since it uses less digits than its factorization.

221130134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221130134432 its reverse (234431031122), we get a palindrome (455561165554).

The spelling of 221130134432 in words is "two hundred twenty-one billion, one hundred thirty million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 239 304 461 478 608 922 956 1844 1912 3301 3688 3824 4541 6602 7376 7648 8759 9082 13204 14752 17518 18164 26408 35036 36328 52816 62719 70072 72656 105632 110179 125438 140144 145312 220358 250876 280288 440716 501752 788939 881432 1003504 1521761 1577878 1762864 2007008 2093401 3043522 3155756 3525728 4186802 6087044 6311512 8373604 12174088 12623024 14989841 16747208 24348176 25246048 28913459 29979682 33494416 48696352 57826918 59959364 66988832 115653836 119918728 231307672 239837456 363700879 462615344 479674912 727401758 925230688 1454803516 2909607032 5819214064 6910316701 11638428128 13820633402 27641266804 55282533608 110565067216 221130134432