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226411270704 = 243253167349509
BaseRepresentation
bin1101001011011100101…
…0011101001000110000
3210122101222202020202200
43102313022131020300
512202142241130304
6252002323143200
722233453022143
oct3226712351060
9718358666680
10226411270704
1188025294853
1237a68814b00
131847304c1c8
14ad5ba7205a
155d51eb5e39
hex34b729d230

226411270704 has 240 divisors, whose sum is σ = 652598856000. Its totient is φ = 73247975424.

The previous prime is 226411270703. The next prime is 226411270717. The reversal of 226411270704 is 407072114622.

226411270704 is a `hidden beast` number, since 2 + 2 + 641 + 1 + 2 + 7 + 0 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226411270703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444815602 + ... + 444816110.

It is an arithmetic number, because the mean of its divisors is an integer number (2719161900).

Almost surely, 2226411270704 is an apocalyptic number.

226411270704 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 226411270704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326299428000).

226411270704 is an abundant number, since it is smaller than the sum of its proper divisors (426187585296).

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

226411270704 is a wasteful number, since it uses less digits than its factorization.

226411270704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 226411270704 in words is "two hundred twenty-six billion, four hundred eleven million, two hundred seventy thousand, seven hundred four".