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227232768 = 2103710567
BaseRepresentation
bin11011000101101…
…00110000000000
3120211120121202110
431202310300000
5431132422033
634314215320
75426306130
oct1542646000
9524517673
10227232768
111072a3384
1264124540
1338100879
1422270ac0
1514e38363
hexd8b4c00

227232768 has 88 divisors (see below), whose sum is σ = 692246272. Its totient is φ = 64917504.

The previous prime is 227232757. The next prime is 227232773. The reversal of 227232768 is 867232722.

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

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, 16221 + ... + 26787.

Almost surely, 2227232768 is an apocalyptic number.

227232768 is a gapful number since it is divisible by the number (28) 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 227232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346123136).

227232768 is an abundant number, since it is smaller than the sum of its proper divisors (465013504).

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

227232768 is a wasteful number, since it uses less digits than its factorization.

227232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10597 (or 10579 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 227232768 is about 15074.2418714840. The cubic root of 227232768 is about 610.2254546001.

The spelling of 227232768 in words is "two hundred twenty-seven million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10567 10752 21134 21504 31701 42268 63402 73969 84536 126804 147938 169072 221907 253608 295876 338144 443814 507216 591752 676288 887628 1014432 1183504 1352576 1775256 2028864 2367008 2705152 3550512 4057728 4734016 5410304 7101024 8115456 9468032 10820608 14202048 16230912 18936064 28404096 32461824 37872128 56808192 75744256 113616384 227232768