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23215110144 = 211310933457
BaseRepresentation
bin10101100111101110…
…100111100000000000
32012220220022210020020
4111213232213200000
5340021032011034
614355340213440
71451202115602
oct254756474000
965826283206
1023215110144
119933362946
1245ba83a280
13225c806c85
1411a32c5172
1590d151249
hex567ba7800

23215110144 has 96 divisors (see below), whose sum is σ = 61966391760. Its totient is φ = 7729053696.

The previous prime is 23215110103. The next prime is 23215110167. The reversal of 23215110144 is 44101151232.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6713664 + ... + 6717120.

Almost surely, 223215110144 is an apocalyptic number.

23215110144 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 23215110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30983195880).

23215110144 is an abundant number, since it is smaller than the sum of its proper divisors (38751281616).

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

23215110144 is a wasteful number, since it uses less digits than its factorization.

23215110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 23215110144 its reverse (44101151232), we get a palindrome (67316261376).

The spelling of 23215110144 in words is "twenty-three billion, two hundred fifteen million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1093 1536 2048 2186 3072 3279 3457 4372 6144 6558 6914 8744 10371 13116 13828 17488 20742 26232 27656 34976 41484 52464 55312 69952 82968 104928 110624 139904 165936 209856 221248 279808 331872 419712 442496 559616 663744 839424 884992 1119232 1327488 1678848 1769984 2238464 2654976 3357696 3539968 3778501 5309952 6715392 7079936 7557002 10619904 11335503 15114004 21239808 22671006 30228008 45342012 60456016 90684024 120912032 181368048 241824064 362736096 483648128 725472192 967296256 1450944384 1934592512 2901888768 3869185024 5803777536 7738370048 11607555072 23215110144