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226968624 = 24326912281
BaseRepresentation
bin11011000011101…
…00010000110000
3120211002012102100
431201310100300
5431100443444
634304420400
75424126051
oct1541642060
9524065370
10226968624
11107132983
1264017700
133803a57c
1422202728
1514dd4e69
hexd874430

226968624 has 60 divisors (see below), whose sum is σ = 636395032. Its totient is φ = 75513600.

The previous prime is 226968589. The next prime is 226968647. The reversal of 226968624 is 426869622.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 226968624.

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 11 ways as a sum of consecutive naturals, for example, 98364 + ... + 100644.

Almost surely, 2226968624 is an apocalyptic number.

226968624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226968624 is an abundant number, since it is smaller than the sum of its proper divisors (409426408).

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

226968624 is a wasteful number, since it uses less digits than its factorization.

226968624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2977 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 226968624 is about 15065.4778882052. The cubic root of 226968624 is about 609.9889131730.

The spelling of 226968624 in words is "two hundred twenty-six million, nine hundred sixty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 691 1382 2073 2281 2764 4146 4562 5528 6219 6843 8292 9124 11056 12438 13686 16584 18248 20529 24876 27372 33168 36496 41058 49752 54744 82116 99504 109488 164232 328464 1576171 3152342 4728513 6304684 9457026 12609368 14185539 18914052 25218736 28371078 37828104 56742156 75656208 113484312 226968624