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226794769920 = 2932531210243
BaseRepresentation
bin1101001100111000000…
…1011000111000000000
3210200101201101000210100
43103032001120320000
512203433430114140
6252104343002400
722246120510515
oct3231601307000
9720351330710
10226794769920
118820180a454
1237b55139400
1318504634014
14ad9697d30c
155d759ba530
hex34ce058e00

226794769920 has 360 divisors, whose sum is σ = 811687867848. Its totient is φ = 58521968640.

The previous prime is 226794769913. The next prime is 226794769931. The reversal of 226794769920 is 29967497622.

226794769920 is a `hidden beast` number, since 2 + 2 + 6 + 79 + 476 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22136319 + ... + 22146561.

Almost surely, 2226794769920 is an apocalyptic number.

226794769920 is a gapful number since it is divisible by the number (20) 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 226794769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405843933924).

226794769920 is an abundant number, since it is smaller than the sum of its proper divisors (584893097928).

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

226794769920 is a wasteful number, since it uses less digits than its factorization.

226794769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 226794769920 in words is "two hundred twenty-six billion, seven hundred ninety-four million, seven hundred sixty-nine thousand, nine hundred twenty".