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230897964 = 22311712347
BaseRepresentation
bin11011100001100…
…11100100101100
3121002110211110110
431300303210230
5433102213324
634524540020
75502412623
oct1560634454
9532424413
10230897964
11109377070
12653b1610
1338ab4c1b
14229466ba
151540e329
hexdc3392c

230897964 has 72 divisors (see below), whose sum is σ = 597852864. Its totient is φ = 68784800.

The previous prime is 230897959. The next prime is 230897969. The reversal of 230897964 is 469798032.

230897964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230897959) and next prime (230897969).

It is not an unprimeable number, because it can be changed into a prime (230897969) 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, 665239 + ... + 665585.

It is an arithmetic number, because the mean of its divisors is an integer number (8303512).

Almost surely, 2230897964 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 230897964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298926432).

230897964 is an abundant number, since it is smaller than the sum of its proper divisors (366954900).

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

230897964 is a wasteful number, since it uses less digits than its factorization.

230897964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 230897964 is about 15195.3270448517. The cubic root of 230897964 is about 613.4888884220.

The spelling of 230897964 in words is "two hundred thirty million, eight hundred ninety-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 347 426 694 781 852 1041 1388 1562 2082 2343 3124 3817 4164 4686 5041 7634 9372 10082 11451 15123 15268 20164 22902 24637 30246 45804 49274 55451 60492 73911 98548 110902 147822 166353 221804 271007 295644 332706 542014 665412 813021 1084028 1626042 1749227 3252084 3498454 5247681 6996908 10495362 19241497 20990724 38482994 57724491 76965988 115448982 230897964