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230204512 = 25311092129
BaseRepresentation
bin11011011100010…
…10010001100000
3121001011121020001
431232022101200
5432413021022
634502025344
75463464116
oct1556122140
9531147201
10230204512
11108a4306a
1265118254
13389013b5
1422805ab6
1515323b27
hexdb8a460

230204512 has 48 divisors (see below), whose sum is σ = 472348800. Its totient is φ = 110315520.

The previous prime is 230204509. The next prime is 230204519. The reversal of 230204512 is 215402032.

It is a self number, because there is not a number n which added to its sum of digits gives 230204512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230204519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107064 + ... + 109192.

It is an arithmetic number, because the mean of its divisors is an integer number (9840600).

Almost surely, 2230204512 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 230204512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236174400).

230204512 is an abundant number, since it is smaller than the sum of its proper divisors (242144288).

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

230204512 is a wasteful number, since it uses less digits than its factorization.

230204512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 230204512 is about 15172.4919508959. The cubic root of 230204512 is about 612.8741122498.

Adding to 230204512 its reverse (215402032), we get a palindrome (445606544).

The spelling of 230204512 in words is "two hundred thirty million, two hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 109 124 218 248 436 496 872 992 1744 2129 3379 3488 4258 6758 8516 13516 17032 27032 34064 54064 65999 68128 108128 131998 232061 263996 464122 527992 928244 1055984 1856488 2111968 3712976 7193891 7425952 14387782 28775564 57551128 115102256 230204512