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226624972 = 22789211431
BaseRepresentation
bin11011000001000…
…00010111001100
3120210102202000111
431200200113030
5431003444342
634253205404
75421165130
oct1540402714
9523382014
10226624972
11106a18772
1263a90864
1337c4a022
14221533c0
1514d68217
hexd8205cc

226624972 has 48 divisors (see below), whose sum is σ = 461583360. Its totient is φ = 95356800.

The previous prime is 226624967. The next prime is 226624987. The reversal of 226624972 is 279426622.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525597 + ... + 526027.

It is an arithmetic number, because the mean of its divisors is an integer number (9616320).

Almost surely, 2226624972 is an apocalyptic number.

It is an amenable number.

226624972 is an abundant number, since it is smaller than the sum of its proper divisors (234958388).

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

226624972 is a wasteful number, since it uses less digits than its factorization.

226624972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 740 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 226624972 is about 15054.0682873435. The cubic root of 226624972 is about 609.6808973304.

The spelling of 226624972 in words is "two hundred twenty-six million, six hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 89 178 211 356 422 431 623 844 862 1246 1477 1724 2492 2954 3017 5908 6034 12068 18779 37558 38359 75116 76718 90941 131453 153436 181882 262906 268513 363764 525812 537026 636587 1074052 1273174 2546348 8093749 16187498 32374996 56656243 113312486 226624972