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227232864 = 2534293023
BaseRepresentation
bin11011000101101…
…00110001100000
3120211120121220000
431202310301200
5431132422424
634314220000
75426306325
oct1542646140
9524517800
10227232864
111072a3461
1264124600
1338100921
1422270b4c
1514e383c9
hexd8b4c60

227232864 has 120 divisors (see below), whose sum is σ = 691558560. Its totient is φ = 73108224.

The previous prime is 227232857. The next prime is 227232877. The reversal of 227232864 is 468232722.

It is a happy number.

227232864 is a `hidden beast` number, since 2 + 272 + 328 + 64 = 666.

227232864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73657 + ... + 76679.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2227232864 is an apocalyptic number.

227232864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227232864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345779280).

227232864 is an abundant number, since it is smaller than the sum of its proper divisors (464325696).

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

227232864 is a wasteful number, since it uses less digits than its factorization.

227232864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3057 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 227232864 is about 15074.2450557234. The cubic root of 227232864 is about 610.2255405349.

The spelling of 227232864 in words is "two hundred twenty-seven million, two hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3023 3132 4176 4698 6046 6264 8352 9069 9396 12092 12528 18138 18792 24184 25056 27207 36276 37584 48368 54414 72552 75168 81621 87667 96736 108828 145104 163242 175334 217656 244863 263001 290208 326484 350668 435312 489726 526002 652968 701336 789003 870624 979452 1052004 1305936 1402672 1578006 1958904 2104008 2367009 2611872 2805344 3156012 3917808 4208016 4734018 6312024 7101027 7835616 8416032 9468036 12624048 14202054 18936072 25248096 28404108 37872144 56808216 75744288 113616432 227232864