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226431049728 = 2133132924439
BaseRepresentation
bin1101001011100001010…
…1111010000000000000
3210122110100222010111010
43102320111322000000
512202212322042403
6252004311120520
722234113111012
oct3227025720000
9718410863433
10226431049728
1188035474054
1237a73373140
1318477185b80
14ad605401b2
155d53ac1603
hex34b857a000

226431049728 has 224 divisors, whose sum is σ = 672672873600. Its totient is φ = 67265888256.

The previous prime is 226431049703. The next prime is 226431049763. The reversal of 226431049728 is 827940134622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9252933 + ... + 9277371.

It is an arithmetic number, because the mean of its divisors is an integer number (3003003900).

Almost surely, 2226431049728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226431049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336336436800).

226431049728 is an abundant number, since it is smaller than the sum of its proper divisors (446241823872).

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

226431049728 is a wasteful number, since it uses less digits than its factorization.

226431049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24510 (or 24486 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 226431049728 in words is "two hundred twenty-six billion, four hundred thirty-one million, forty-nine thousand, seven hundred twenty-eight".