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226618269696 = 21337713139
BaseRepresentation
bin1101001100001110000…
…0000110000000000000
3210122221102020220000000
43103003200012000000
512203103234112241
6252035040000000
722241545336560
oct3230340060000
9718842226000
10226618269696
11881211181a5
1237b06000000
13184a6bb7110
14ad7b356da0
155d65253eb6
hex34c3806000

226618269696 has 896 divisors, whose sum is σ = 842584243200. Its totient is φ = 59337474048.

The previous prime is 226618269649. The next prime is 226618269733. The reversal of 226618269696 is 696962816622.

226618269696 is a `hidden beast` number, since 2 + 2 + 6 + 618 + 2 + 6 + 9 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1630347195 + ... + 1630347333.

It is an arithmetic number, because the mean of its divisors is an integer number (940384200).

Almost surely, 2226618269696 is an apocalyptic number.

226618269696 is a gapful number since it is divisible by the number (26) 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 226618269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421292121600).

226618269696 is an abundant number, since it is smaller than the sum of its proper divisors (615965973504).

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

226618269696 is an frugal number, since it uses more digits than its factorization.

226618269696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 164 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 226618269696 in words is "two hundred twenty-six billion, six hundred eighteen million, two hundred sixty-nine thousand, six hundred ninety-six".