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230321200 = 2452593971
BaseRepresentation
bin11011011101001…
…10110000110000
3121001101112021211
431232212300300
5432430234300
634504325504
75464461244
oct1556466060
9531345254
10230321200
111090127aa
1265173894
1338942545
1422836424
15153484ba
hexdba6c30

230321200 has 60 divisors (see below), whose sum is σ = 554850648. Its totient is φ = 91878400.

The previous prime is 230321183. The next prime is 230321213. The reversal of 230321200 is 2123032.

It is a happy number.

230321200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 236715 + ... + 237685.

Almost surely, 2230321200 is an apocalyptic number.

230321200 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 230321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277425324).

230321200 is an abundant number, since it is smaller than the sum of its proper divisors (324529448).

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

230321200 is a wasteful number, since it uses less digits than its factorization.

230321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 230321200 is about 15176.3368439159. The cubic root of 230321200 is about 612.9776476871.

Adding to 230321200 its reverse (2123032), we get a palindrome (232444232).

The spelling of 230321200 in words is "two hundred thirty million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 593 971 1186 1942 2372 2965 3884 4744 4855 5930 7768 9488 9710 11860 14825 15536 19420 23720 24275 29650 38840 47440 48550 59300 77680 97100 118600 194200 237200 388400 575803 1151606 2303212 2879015 4606424 5758030 9212848 11516060 14395075 23032120 28790150 46064240 57580300 115160600 230321200