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226984356 = 22310312
BaseRepresentation
bin11011000011110…
…00000110100100
3120211010000000000
431201320012210
5431101444411
634305021300
75424222654
oct1541700644
9524100000
10226984356
11107143785
1264024830
1338044791
1422208364
1514dd9956
hexd8781a4

226984356 has 99 divisors (see below), whose sum is σ = 615670923. Its totient is φ = 73220760.

The previous prime is 226984349. The next prime is 226984367. The reversal of 226984356 is 653489622.

The square root of 226984356 is 15066.

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

Its product of digits (622080) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 7322061 + ... + 7322091.

Almost surely, 2226984356 is an apocalyptic number.

226984356 is the 15066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226984356

226984356 is an abundant number, since it is smaller than the sum of its proper divisors (388686567).

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

226984356 is an frugal number, since it uses more digits than its factorization.

226984356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 226984356 is about 610.0030063455.

The spelling of 226984356 in words is "two hundred twenty-six million, nine hundred eighty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 961 972 1116 1458 1674 1922 2187 2511 2883 2916 3348 3844 4374 5022 5766 6561 7533 8649 8748 10044 11532 13122 15066 17298 19683 22599 25947 26244 30132 34596 39366 45198 51894 59049 67797 77841 78732 90396 103788 118098 135594 155682 203391 233523 236196 271188 311364 406782 467046 610173 700569 813564 934092 1220346 1401138 1830519 2101707 2440692 2802276 3661038 4203414 6305121 7322076 8406828 12610242 18915363 25220484 37830726 56746089 75661452 113492178 226984356