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228623916024 = 23327453618881
BaseRepresentation
bin1101010011101100001…
…1000001101111111000
3210212010012020021112100
43110323003001233320
512221210210303044
6253010043543400
722342341136140
oct3247303015770
9725105207470
10228623916024
1188a60270a49
123838582ab60
131873658a4aa
14b0cb881920
155e3137e869
hex353b0c1bf8

228623916024 has 48 divisors (see below), whose sum is σ = 707645455920. Its totient is φ = 65321118720.

The previous prime is 228623915987. The next prime is 228623916061. The reversal of 228623916024 is 420619326822.

228623916024 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 2 + 39 + 1 + 602 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (228623915987) and next prime (228623916061).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226808937 + ... + 226809944.

It is an arithmetic number, because the mean of its divisors is an integer number (14742613665).

Almost surely, 2228623916024 is an apocalyptic number.

228623916024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228623916024 is an abundant number, since it is smaller than the sum of its proper divisors (479021539896).

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

228623916024 is a wasteful number, since it uses less digits than its factorization.

228623916024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453618900 (or 453618893 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 228623916024 in words is "two hundred twenty-eight billion, six hundred twenty-three million, nine hundred sixteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 453618881 907237762 1360856643 1814475524 2721713286 3175332167 3628951048 4082569929 5443426572 6350664334 8165139858 9525996501 10886853144 12701328668 16330279716 19051993002 25402657336 28577989503 32660559432 38103986004 57155979006 76207972008 114311958012 228623916024