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226695952 = 24721773233
BaseRepresentation
bin11011000001100…
…01101100010000
3120210120100101101
431200301230100
5431013232302
634254514144
75421612100
oct1540615420
9523510341
10226695952
11106a6702a
1263b05954
1337c73422
1422171200
1514d7e287
hexd831b10

226695952 has 120 divisors (see below), whose sum is σ = 550752696. Its totient is φ = 89800704.

The previous prime is 226695943. The next prime is 226695979. The reversal of 226695952 is 259596622.

It can be written as a sum of positive squares in 4 ways, for example, as 36917776 + 189778176 = 6076^2 + 13776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972828 + ... + 973060.

Almost surely, 2226695952 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 226695952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275376348).

226695952 is an abundant number, since it is smaller than the sum of its proper divisors (324056744).

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

226695952 is a wasteful number, since it uses less digits than its factorization.

226695952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its digits is 583200, while the sum is 46.

The square root of 226695952 is about 15056.4256050365. The cubic root of 226695952 is about 609.7445423214.

The spelling of 226695952 in words is "two hundred twenty-six million, six hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 73 98 112 119 136 146 196 233 238 272 292 392 466 476 511 584 784 833 932 952 1022 1168 1241 1631 1666 1864 1904 2044 2482 3262 3332 3577 3728 3961 4088 4964 6524 6664 7154 7922 8176 8687 9928 11417 13048 13328 14308 15844 17009 17374 19856 22834 26096 27727 28616 31688 34018 34748 45668 55454 57232 60809 63376 68036 69496 91336 110908 119063 121618 136072 138992 182672 194089 221816 238126 243236 272144 289153 388178 443632 476252 486472 578306 776356 833441 952504 972944 1156612 1552712 1666882 1905008 2024071 2313224 3105424 3333764 4048142 4626448 6667528 8096284 13335056 14168497 16192568 28336994 32385136 56673988 113347976 226695952