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232214112 = 2532133367
BaseRepresentation
bin11011101011101…
…00111001100000
3121011221200212200
431311310321200
5433421322422
635013053200
75516534034
oct1565647140
9534850780
10232214112
1110a095999
1265927200
1339156000
1422baa1c4
15155be2ac
hexdd74e60

232214112 has 144 divisors (see below), whose sum is σ = 717312960. Its totient is φ = 71255808.

The previous prime is 232214089. The next prime is 232214113. The reversal of 232214112 is 211412232.

It is a happy number.

232214112 is a `hidden beast` number, since 232 + 21 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232214113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632553 + ... + 632919.

It is an arithmetic number, because the mean of its divisors is an integer number (4981340).

Almost surely, 2232214112 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 232214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358656480).

232214112 is an abundant number, since it is smaller than the sum of its proper divisors (485098848).

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

232214112 is a wasteful number, since it uses less digits than its factorization.

232214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 385 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 232214112 is about 15238.5731615529. The cubic root of 232214112 is about 614.6523357226.

Adding to 232214112 its reverse (211412232), we get a palindrome (443626344).

The spelling of 232214112 in words is "two hundred thirty-two million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 367 416 468 507 624 676 734 936 1014 1101 1248 1352 1468 1521 1872 2028 2197 2202 2704 2936 3042 3303 3744 4056 4394 4404 4771 5408 5872 6084 6591 6606 8112 8788 8808 9542 11744 12168 13182 13212 14313 16224 17576 17616 19084 19773 24336 26364 26424 28626 35152 35232 38168 39546 42939 48672 52728 52848 57252 62023 70304 76336 79092 85878 105456 105696 114504 124046 152672 158184 171756 186069 210912 229008 248092 316368 343512 372138 458016 496184 558207 632736 687024 744276 806299 992368 1116414 1374048 1488552 1612598 1984736 2232828 2418897 2977104 3225196 4465656 4837794 5954208 6450392 7256691 8931312 9675588 12900784 14513382 17862624 19351176 25801568 29026764 38702352 58053528 77404704 116107056 232214112