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226404571520 = 27519412331949
BaseRepresentation
bin1101001011011011000…
…0111001100110000000
3210122101112010220012202
43102312300321212000
512202134032242040
6252001523412332
722233342051041
oct3226660714600
9718345126182
10226404571520
1188021529636
1237a665240a8
1318471844baa
14ad5ac0a8c8
155d515e1015
hex34b6c39980

226404571520 has 256 divisors, whose sum is σ = 586436760000. Its totient is φ = 83300843520.

The previous prime is 226404571493. The next prime is 226404571573. The reversal of 226404571520 is 25175404622.

It is a super-2 number, since 2×2264045715202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116163506 + ... + 116165454.

Almost surely, 2226404571520 is an apocalyptic number.

226404571520 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 226404571520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293218380000).

226404571520 is an abundant number, since it is smaller than the sum of its proper divisors (360032188480).

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

226404571520 is a wasteful number, since it uses less digits than its factorization.

226404571520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 226404571520 in words is "two hundred twenty-six billion, four hundred four million, five hundred seventy-one thousand, five hundred twenty".