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230124460 = 225371013079
BaseRepresentation
bin11011011011101…
…10101110101100
3121001000112102011
431231312232230
5432402440320
634500211004
75463011536
oct1555665654
9531015364
10230124460
11108998a05
1265099a64
13388a3b27
14227c4856
151530a05a
hexdb76bac

230124460 has 48 divisors (see below), whose sum is σ = 501399360. Its totient is φ = 88646400.

The previous prime is 230124457. The next prime is 230124467. The reversal of 230124460 is 64421032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (230124467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73201 + ... + 76279.

It is an arithmetic number, because the mean of its divisors is an integer number (10445820).

Almost surely, 2230124460 is an apocalyptic number.

230124460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230124460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250699680).

230124460 is an abundant number, since it is smaller than the sum of its proper divisors (271274900).

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

230124460 is a wasteful number, since it uses less digits than its factorization.

230124460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 230124460 is about 15169.8536578307. The cubic root of 230124460 is about 612.8030631262.

Adding to 230124460 its reverse (64421032), we get a palindrome (294545492).

It can be divided in two parts, 23012 and 4460, that added together give a palindrome (27472).

The spelling of 230124460 in words is "two hundred thirty million, one hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 3079 3737 6158 7474 12316 14948 15395 18685 30790 37370 61580 74740 113923 227846 310979 455692 569615 621958 1139230 1243916 1554895 2278460 3109790 6219580 11506223 23012446 46024892 57531115 115062230 230124460