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226294328260 = 2257112134171353
BaseRepresentation
bin1101001011000000110…
…0010110101111000100
3210122002211200221220001
43102300030112233010
512201422322001020
6251542544451044
722230533024110
oct3226014265704
9718084627801
10226294328260
1187a75281200
1237a35619a84
1318454a55bb0
14ad4a310740
155d46ab650a
hex34b0316bc4

226294328260 has 576 divisors, whose sum is σ = 669736553472. Its totient is φ = 62447616000.

The previous prime is 226294328231. The next prime is 226294328261. The reversal of 226294328260 is 62823492622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 226294328260.

It is not an unprimeable number, because it can be changed into a prime (226294328261) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 641060244 + ... + 641060596.

It is an arithmetic number, because the mean of its divisors is an integer number (1162737072).

Almost surely, 2226294328260 is an apocalyptic number.

226294328260 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 226294328260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334868276736).

226294328260 is an abundant number, since it is smaller than the sum of its proper divisors (443442225212).

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

226294328260 is a wasteful number, since it uses less digits than its factorization.

226294328260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 226294328260 in words is "two hundred twenty-six billion, two hundred ninety-four million, three hundred twenty-eight thousand, two hundred sixty".