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230046400 = 2652143779
BaseRepresentation
bin11011011011000…
…11101011000000
3121000212120100001
431231203223000
5432342441100
634454405344
75462235133
oct1555435300
9530776301
10230046400
111089452a1
1265060854
133887743c
14227a421a
15152e1d6a
hexdb63ac0

230046400 has 42 divisors (see below), whose sum is σ = 566061860. Its totient is φ = 92017920.

The previous prime is 230046373. The next prime is 230046409. The reversal of 230046400 is 4640032.

230046400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230046409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70290 + ... + 73489.

Almost surely, 2230046400 is an apocalyptic number.

230046400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230046400 is an abundant number, since it is smaller than the sum of its proper divisors (336015460).

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

230046400 is a wasteful number, since it uses less digits than its factorization.

230046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143801 (or 143786 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 230046400 is about 15167.2805736559. The cubic root of 230046400 is about 612.7337661078.

Adding to 230046400 its reverse (4640032), we get a palindrome (234686432).

The spelling of 230046400 in words is "two hundred thirty million, forty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 143779 287558 575116 718895 1150232 1437790 2300464 2875580 3594475 4600928 5751160 7188950 9201856 11502320 14377900 23004640 28755800 46009280 57511600 115023200 230046400