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228294864 = 24327226483
BaseRepresentation
bin11011001101110…
…00000011010000
3120220120120200100
431212320003100
5431420413424
634353052400
75441321460
oct1546700320
9526516610
10228294864
11107959346
1264557100
13383b3125
1422469ba0
1515097dc9
hexd9b80d0

228294864 has 60 divisors (see below), whose sum is σ = 730184416. Its totient is φ = 65226816.

The previous prime is 228294863. The next prime is 228294883. The reversal of 228294864 is 468492822.

It is a super-3 number, since 3×2282948643 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228294863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112234 + ... + 114249.

Almost surely, 2228294864 is an apocalyptic number.

228294864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228294864 is an abundant number, since it is smaller than the sum of its proper divisors (501889552).

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

228294864 is a wasteful number, since it uses less digits than its factorization.

228294864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226504 (or 226495 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 228294864 is about 15109.4296384741. The cubic root of 228294864 is about 611.1747174149.

The spelling of 228294864 in words is "two hundred twenty-eight million, two hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 226483 452966 679449 905932 1358898 1585381 1811864 2038347 2717796 3170762 3623728 4076694 4756143 5435592 6341524 8153388 9512286 10871184 12683048 14268429 16306776 19024572 25366096 28536858 32613552 38049144 57073716 76098288 114147432 228294864