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231990400 = 275272497
BaseRepresentation
bin11011101001111…
…10010010000000
3121011112100000001
431310332102000
5433342143100
635004205344
75514612565
oct1564762200
9534470001
10231990400
11109a52904
1265839854
13390a8235
1422b4c86c
1515577d6a
hexdd3e480

231990400 has 48 divisors (see below), whose sum is σ = 573096690. Its totient is φ = 92794880.

The previous prime is 231990379. The next prime is 231990403. The reversal of 231990400 is 4099132.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 153561664 + 78428736 = 12392^2 + 8856^2 .

It is not an unprimeable number, because it can be changed into a prime (231990403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33049 + ... + 39448.

Almost surely, 2231990400 is an apocalyptic number.

231990400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231990400 is an abundant number, since it is smaller than the sum of its proper divisors (341106290).

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

231990400 is an equidigital number, since it uses as much as digits as its factorization.

231990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72521 (or 72504 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 231990400 is about 15231.2310730289. The cubic root of 231990400 is about 614.4548896635.

The spelling of 231990400 in words is "two hundred thirty-one million, nine hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 72497 144994 289988 362485 579976 724970 1159952 1449940 1812425 2319904 2899880 3624850 4639808 5799760 7249700 9279616 11599520 14499400 23199040 28998800 46398080 57997600 115995200 231990400