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227113964 = 227112947541
BaseRepresentation
bin11011000100101…
…11101111101100
3120211100120210022
431202113233230
5431120121324
634311501312
75425302560
oct1542275754
9524316708
10227113964
111072220a0
1264087838
133808b77c
142223d6a0
1514e1305e
hexd897bec

227113964 has 96 divisors (see below), whose sum is σ = 524482560. Its totient is φ = 83462400.

The previous prime is 227113963. The next prime is 227114039. The reversal of 227113964 is 469311722.

227113964 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

227113964 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (227113961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419534 + ... + 420074.

It is an arithmetic number, because the mean of its divisors is an integer number (5463360).

Almost surely, 2227113964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227113964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262241280).

227113964 is an abundant number, since it is smaller than the sum of its proper divisors (297368596).

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

227113964 is a wasteful number, since it uses less digits than its factorization.

With its successor (227113965) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (639).

227113964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 227113964 is about 15070.3007269265. The cubic root of 227113964 is about 610.1190880993.

The spelling of 227113964 in words is "two hundred twenty-seven million, one hundred thirteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 47 58 77 94 116 154 188 203 308 319 329 406 517 541 638 658 812 1034 1082 1276 1316 1363 2068 2164 2233 2726 3619 3787 4466 5452 5951 7238 7574 8932 9541 11902 14476 14993 15148 15689 19082 23804 25427 29986 31378 38164 41657 50854 59972 62756 83314 101708 104951 109823 166628 172579 177989 209902 219646 279697 345158 355978 419804 439292 559394 690316 711956 737383 1118788 1208053 1474766 1957879 2416106 2949532 3915758 4832212 5161681 7831516 8111213 10323362 16222426 20646724 32444852 56778491 113556982 227113964