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230045405200 = 24521344239501
BaseRepresentation
bin1101011000111111000…
…1100101000000010000
3210222210021000102002121
43112033301211000100
512232113110431300
6253403103224024
722422511452352
oct3261761450020
9728707012077
10230045405200
118961a6a7896
12387018a8014
1318901c21150
14b1c45890d2
155eb606b81a
hex358fc65010

230045405200 has 60 divisors (see below), whose sum is σ = 595198259908. Its totient is φ = 84939840000.

The previous prime is 230045405189. The next prime is 230045405209. The reversal of 230045405200 is 2504540032.

It can be written as a sum of positive squares in 6 ways, for example, as 16423960336 + 213621444864 = 128156^2 + 462192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (230045405209) 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, 22114551 + ... + 22124950.

Almost surely, 2230045405200 is an apocalyptic number.

230045405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230045405200 is an abundant number, since it is smaller than the sum of its proper divisors (365152854708).

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

230045405200 is a wasteful number, since it uses less digits than its factorization.

230045405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44239532 (or 44239521 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 230045405200 its reverse (2504540032), we get a palindrome (232549945232).

The spelling of 230045405200 in words is "two hundred thirty billion, forty-five million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 44239501 88479002 176958004 221197505 353916008 442395010 575113513 707832016 884790020 1105987525 1150227026 1769580040 2211975050 2300454052 2875567565 3539160080 4423950100 4600908104 5751135130 8847900200 9201816208 11502270260 14377837825 17695800400 23004540520 28755675650 46009081040 57511351300 115022702600 230045405200