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230400100 = 22527329143
BaseRepresentation
bin11011011101110…
…10000001100100
3121001112112112001
431232322001210
5432440300400
634510135044
75465240260
oct1556720144
9531475461
10230400100
11109067007
12651b1484
133896c428
14228570a0
1515361a6a
hexdbba064

230400100 has 36 divisors (see below), whose sum is σ = 571393984. Its totient is φ = 78994080.

The previous prime is 230400077. The next prime is 230400127. The reversal of 230400100 is 1004032.

230400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163872 + ... + 165271.

Almost surely, 2230400100 is an apocalyptic number.

230400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230400100 is an abundant number, since it is smaller than the sum of its proper divisors (340993884).

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

230400100 is a wasteful number, since it uses less digits than its factorization.

230400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329164 (or 329157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 230400100 is about 15178.9360628471. The cubic root of 230400100 is about 613.0476346081.

Adding to 230400100 its reverse (1004032), we get a palindrome (231404132).

The spelling of 230400100 in words is "two hundred thirty million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 329143 658286 1316572 1645715 2304001 3291430 4608002 6582860 8228575 9216004 11520005 16457150 23040010 32914300 46080020 57600025 115200050 230400100