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227290968 = 23332345751
BaseRepresentation
bin11011000110000…
…10111101011000
3120211200120121000
431203002331120
5431141302333
634315345000
75426640612
oct1543027530
9524616530
10227290968
11107333083
1264152160
13381211c8
1422287db2
1514e4a713
hexd8c2f58

227290968 has 64 divisors (see below), whose sum is σ = 658828800. Its totient is φ = 72468000.

The previous prime is 227290961. The next prime is 227290981. The reversal of 227290968 is 869092722.

227290968 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 2×2272909682 = 103322368268754048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227290961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17908 + ... + 27843.

It is an arithmetic number, because the mean of its divisors is an integer number (10294200).

Almost surely, 2227290968 is an apocalyptic number.

It is an amenable number.

227290968 is an abundant number, since it is smaller than the sum of its proper divisors (431537832).

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

227290968 is a wasteful number, since it uses less digits than its factorization.

227290968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45789 (or 45779 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 227290968 is about 15076.1721932326. The cubic root of 227290968 is about 610.2775481575.

The spelling of 227290968 in words is "two hundred twenty-seven million, two hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 45751 91502 137253 183004 274506 366008 411759 549012 823518 1052273 1098024 1235277 1647036 2104546 2470554 3156819 3294072 4209092 4941108 6313638 8418184 9470457 9882216 12627276 18940914 25254552 28411371 37881828 56822742 75763656 113645484 227290968