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230464600 = 23522350101
BaseRepresentation
bin11011011110010…
…01110001011000
3121001122210222221
431233021301120
5432444331400
634511353424
75465626312
oct1557116130
9531583887
10230464600
11109100513
1265222874
13389928b2
14228727b2
1515375c1a
hexdbc9c58

230464600 has 48 divisors (see below), whose sum is σ = 559138320. Its totient is φ = 88176000.

The previous prime is 230464583. The next prime is 230464603. The reversal of 230464600 is 6464032.

It is a super-2 number, since 2×2304646002 = 106227863706320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230464603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20451 + ... + 29650.

It is an arithmetic number, because the mean of its divisors is an integer number (11648715).

Almost surely, 2230464600 is an apocalyptic number.

230464600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230464600 is an abundant number, since it is smaller than the sum of its proper divisors (328673720).

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

230464600 is a wasteful number, since it uses less digits than its factorization.

230464600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50140 (or 50131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 230464600 is about 15181.0605690116. The cubic root of 230464600 is about 613.1048363818.

The spelling of 230464600 in words is "two hundred thirty million, four hundred sixty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 50101 100202 200404 250505 400808 501010 1002020 1152323 1252525 2004040 2304646 2505050 4609292 5010100 5761615 9218584 10020200 11523230 23046460 28808075 46092920 57616150 115232300 230464600