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252230112 = 2535163199
BaseRepresentation
bin11110000100010…
…11100111100000
3122120121121200000
433002023213200
51004032330422
641010100000
76151630521
oct1702134740
9576547600
10252230112
1111a417242
127057a600
13403437b4
14256da848
1517224cac
hexf08b9e0

252230112 has 144 divisors (see below), whose sum is σ = 752169600. Its totient is φ = 83140992.

The previous prime is 252230107. The next prime is 252230119. The reversal of 252230112 is 211032252.

252230112 is a `hidden beast` number, since 2 + 522 + 30 + 112 = 666.

252230112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (252230119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1267389 + ... + 1267587.

It is an arithmetic number, because the mean of its divisors is an integer number (5223400).

Almost surely, 2252230112 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 252230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376084800).

252230112 is an abundant number, since it is smaller than the sum of its proper divisors (499939488).

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

252230112 is a wasteful number, since it uses less digits than its factorization.

252230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252230112 is about 15881.7540592971. The cubic root of 252230112 is about 631.8281592306.

Adding to 252230112 its reverse (211032252), we get a palindrome (463262364).

The spelling of 252230112 in words is "two hundred fifty-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 163 199 216 243 288 324 326 398 432 486 489 597 648 652 796 864 972 978 1194 1296 1304 1467 1592 1791 1944 1956 2388 2592 2608 2934 3184 3582 3888 3912 4401 4776 5216 5373 5868 6368 7164 7776 7824 8802 9552 10746 11736 13203 14328 15648 16119 17604 19104 21492 23472 26406 28656 32238 32437 35208 39609 42984 46944 48357 52812 57312 64476 64874 70416 79218 85968 96714 97311 105624 128952 129748 140832 158436 171936 193428 194622 211248 257904 259496 291933 316872 386856 389244 422496 515808 518992 583866 633744 773712 778488 875799 1037984 1167732 1267488 1547424 1556976 1751598 2335464 2627397 3113952 3503196 4670928 5254794 7006392 7882191 9341856 10509588 14012784 15764382 21019176 28025568 31528764 42038352 63057528 84076704 126115056 252230112