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232264116 = 223272353373
BaseRepresentation
bin11011101100000…
…01000110110100
3121012001020110200
431312001012310
5433424422431
635014120500
75520132600
oct1566010664
9535036420
10232264116
1110a11a517
1265950130
13391729b6
1422bc0500
15155cdee6
hexdd811b4

232264116 has 108 divisors (see below), whose sum is σ = 686738052. Its totient is φ = 65995776.

The previous prime is 232264099. The next prime is 232264127. The reversal of 232264116 is 611462232.

232264116 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 641 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110250000 + 122014116 = 10500^2 + 11046^2 .

It is a super-2 number, since 2×2322641162 = 107893239162522912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232264116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 622506 + ... + 622878.

Almost surely, 2232264116 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 232264116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343369026).

232264116 is an abundant number, since it is smaller than the sum of its proper divisors (454473936).

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

232264116 is a wasteful number, since it uses less digits than its factorization.

232264116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 232264116 is about 15240.2137780282. The cubic root of 232264116 is about 614.6964514301.

The spelling of 232264116 in words is "two hundred thirty-two million, two hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 353 373 441 588 706 746 882 1059 1119 1412 1492 1764 2118 2238 2471 2611 3177 3357 4236 4476 4942 5222 6354 6714 7413 7833 9884 10444 12708 13428 14826 15666 17297 18277 22239 23499 29652 31332 34594 36554 44478 46998 51891 54831 69188 73108 88956 93996 103782 109662 131669 155673 164493 207564 219324 263338 311346 328986 395007 526676 622692 657972 790014 921683 1185021 1580028 1843366 2370042 2765049 3686732 4740084 5530098 6451781 8295147 11060196 12903562 16590294 19355343 25807124 33180588 38710686 58066029 77421372 116132058 232264116