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226004944 = 24113114129
BaseRepresentation
bin11010111100010…
…00111111010000
3120202021020111111
431132020333100
5430324124234
634232023104
75413003354
oct1536107720
9522236444
10226004944
11106634950
1263831a94
1337a90a49
1422031464
1514c94664
hexd788fd0

226004944 has 40 divisors (see below), whose sum is σ = 479344320. Its totient is φ = 102374400.

The previous prime is 226004921. The next prime is 226004963. The reversal of 226004944 is 449400622.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52672 + ... + 56800.

It is an arithmetic number, because the mean of its divisors is an integer number (11983608).

Almost surely, 2226004944 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 226004944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239672160).

226004944 is an abundant number, since it is smaller than the sum of its proper divisors (253339376).

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

226004944 is a wasteful number, since it uses less digits than its factorization.

226004944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 226004944 is about 15033.4608124676. The cubic root of 226004944 is about 609.1243765837.

The spelling of 226004944 in words is "two hundred twenty-six million, four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 311 622 1244 2488 3421 4129 4976 6842 8258 13684 16516 27368 33032 45419 54736 66064 90838 181676 363352 726704 1284119 2568238 5136476 10272952 14125309 20545904 28250618 56501236 113002472 226004944