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222487056 = 24321121132
BaseRepresentation
bin11010100001011…
…10001000010000
3120111122111212100
431100232020100
5423424041211
634024400400
75341052211
oct1520561020
9514574770
10222487056
11104651900
1262616100
133712b75c
1421797408
15147ec156
hexd42e210

222487056 has 135 divisors (see below), whose sum is σ = 690515917. Its totient is φ = 66823680.

The previous prime is 222487039. The next prime is 222487079. The reversal of 222487056 is 650784222.

The square root of 222487056 is 14916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 218566656 = 1980^2 + 14784^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 222487056.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1968856 + ... + 1968968.

Almost surely, 2222487056 is an apocalyptic number.

222487056 is the 14916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222487056

222487056 is an abundant number, since it is smaller than the sum of its proper divisors (468028861).

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

222487056 is a wasteful number, since it uses less digits than its factorization.

222487056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 222487056 is about 605.9473862108.

Multiplying 222487056 by its sum of digits (36), we get a square (8009534016 = 894962).

222487056 divided by its sum of digits (36) gives a square (6180196 = 24862).

The spelling of 222487056 in words is "two hundred twenty-two million, four hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 113 121 132 144 176 198 226 242 264 339 363 396 452 484 528 678 726 792 904 968 1017 1089 1243 1356 1452 1584 1808 1936 2034 2178 2486 2712 2904 3729 4068 4356 4972 5424 5808 7458 8136 8712 9944 11187 12769 13673 14916 16272 17424 19888 22374 25538 27346 29832 38307 41019 44748 51076 54692 59664 76614 82038 89496 102152 109384 114921 123057 140459 153228 164076 178992 204304 218768 229842 246114 280918 306456 328152 421377 459684 492228 561836 612912 656304 842754 919368 984456 1123672 1264131 1545049 1685508 1838736 1968912 2247344 2528262 3090098 3371016 4635147 5056524 6180196 6742032 9270294 10113048 12360392 13905441 18540588 20226096 24720784 27810882 37081176 55621764 74162352 111243528 222487056