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226100383968 = 25312718544979
BaseRepresentation
bin1101001010010010100…
…0100001000011100000
3210121121022202120100010
43102210220201003200
512201023144241333
6251511415524520
722222656360624
oct3224450410340
9717538676303
10226100383968
1187985854a68
12379a0689740
131842380c064
14ad2c667184
155d34a56563
hex34a4a210e0

226100383968 has 48 divisors (see below), whose sum is σ = 598186874880. Its totient is φ = 74773351296.

The previous prime is 226100383937. The next prime is 226100384039. The reversal of 226100383968 is 869383001622.

226100383968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2261003839682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9260298 + ... + 9284681.

It is an arithmetic number, because the mean of its divisors is an integer number (12462226560).

Almost surely, 2226100383968 is an apocalyptic number.

It is an amenable number.

226100383968 is an abundant number, since it is smaller than the sum of its proper divisors (372086490912).

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

226100383968 is a wasteful number, since it uses less digits than its factorization.

226100383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545119 (or 18545111 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 226100383968 in words is "two hundred twenty-six billion, one hundred million, three hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 18544979 37089958 55634937 74179916 111269874 148359832 222539748 296719664 445079496 593439328 890158992 1780317984 2355212333 4710424666 7065636999 9420849332 14131273998 18841698664 28262547996 37683397328 56525095992 75366794656 113050191984 226100383968