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227104956 = 2232131273821
BaseRepresentation
bin11011000100101…
…01100010111100
3120211100010102200
431202111202330
5431114324311
634311351500
75425234401
oct1542254274
9524303380
10227104956
11107216351
1264082590
1338087640
142223a2a8
1514e10556
hexd8958bc

227104956 has 72 divisors (see below), whose sum is σ = 623261184. Its totient is φ = 69310080.

The previous prime is 227104939. The next prime is 227104963. The reversal of 227104956 is 659401722.

227104956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2271049562 = 103153322079523872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 227104956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57526 + ... + 61346.

Almost surely, 2227104956 is an apocalyptic number.

227104956 is a gapful number since it is divisible by the number (26) 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 227104956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311630592).

227104956 is an abundant number, since it is smaller than the sum of its proper divisors (396156228).

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

227104956 is a wasteful number, since it uses less digits than its factorization.

227104956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 227104956 is about 15070.0018579959. The cubic root of 227104956 is about 610.1110216272. Note that the first 3 decimals are identical.

The spelling of 227104956 in words is "two hundred twenty-seven million, one hundred four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 762 1143 1524 1651 2286 3302 3821 4572 4953 6604 7642 9906 11463 14859 15284 19812 22926 29718 34389 45852 49673 59436 68778 99346 137556 149019 198692 298038 447057 485267 596076 894114 970534 1455801 1788228 1941068 2911602 4367403 5823204 6308471 8734806 12616942 17469612 18925413 25233884 37850826 56776239 75701652 113552478 227104956