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230412252 = 223723239499
BaseRepresentation
bin11011011101111…
…00111111011100
3121001120011012010
431232330333130
5432441143002
634510311220
75465320560
oct1556747734
9531504163
10230412252
11109075154
12651b8510
1338974b15
142285b6a0
151536546c
hexdbbcfdc

230412252 has 96 divisors (see below), whose sum is σ = 645120000. Its totient is φ = 62580672.

The previous prime is 230412241. The next prime is 230412257. The reversal of 230412252 is 252214032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230412257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461499 + ... + 461997.

It is an arithmetic number, because the mean of its divisors is an integer number (6720000).

Almost surely, 2230412252 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 230412252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560000).

230412252 is an abundant number, since it is smaller than the sum of its proper divisors (414707748).

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

230412252 is a wasteful number, since it uses less digits than its factorization.

230412252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 230412252 is about 15179.3363491294. The cubic root of 230412252 is about 613.0584124157.

Adding to 230412252 its reverse (252214032), we get a palindrome (482626284).

The spelling of 230412252 in words is "two hundred thirty million, four hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 239 276 322 478 483 499 644 717 956 966 998 1434 1497 1673 1932 1996 2868 2994 3346 3493 5019 5497 5988 6692 6986 10038 10479 10994 11477 13972 16491 20076 20958 21988 22954 32982 34431 38479 41916 45908 65964 68862 76958 80339 115437 119261 137724 153916 160678 230874 238522 241017 321356 357783 461748 477044 482034 715566 834827 964068 1431132 1669654 2504481 2743003 3339308 5008962 5486006 8229009 10017924 10972012 16458018 19201021 32916036 38402042 57603063 76804084 115206126 230412252