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22030004064 = 2531716780831
BaseRepresentation
bin10100100001000101…
…110010111101100000
32002212022100011022110
4110201011302331200
5330104140112224
614042003235320
71406631642045
oct244105627540
962768304273
1022030004064
1193853aa132
124329978b40
132101128a83
1410cdb511cc
1588e0a8929
hex521172f60

22030004064 has 96 divisors (see below), whose sum is σ = 61597863936. Its totient is φ = 6869903360.

The previous prime is 22030004057. The next prime is 22030004089. The reversal of 22030004064 is 46040003022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 22030004064.

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, 232129 + ... + 312959.

It is an arithmetic number, because the mean of its divisors is an integer number (641644416).

Almost surely, 222030004064 is an apocalyptic number.

22030004064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22030004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30798931968).

22030004064 is an abundant number, since it is smaller than the sum of its proper divisors (39567859872).

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

22030004064 is a wasteful number, since it uses less digits than its factorization.

22030004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81028 (or 81020 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22030004064 its reverse (46040003022), we get a palindrome (68070007086).

The spelling of 22030004064 in words is "twenty-two billion, thirty million, four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 167 204 272 334 408 501 544 668 816 1002 1336 1632 2004 2672 2839 4008 5344 5678 8016 8517 11356 16032 17034 22712 34068 45424 68136 80831 90848 136272 161662 242493 272544 323324 484986 646648 969972 1293296 1374127 1939944 2586592 2748254 3879888 4122381 5496508 7759776 8244762 10993016 13498777 16489524 21986032 26997554 32979048 40496331 43972064 53995108 65958096 80992662 107990216 131916192 161985324 215980432 229479209 323970648 431960864 458958418 647941296 688437627 917916836 1295882592 1376875254 1835833672 2753750508 3671667344 5507501016 7343334688 11015002032 22030004064