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232750000 = 24567219
BaseRepresentation
bin11011101111101…
…11101110110000
3121012221220222101
431313313232300
5434041000000
635032350144
75524225300
oct1567675660
9535856871
10232750000
1110a42157a
1265b45354
13392b2bc2
1422ca9600
1515677e6a
hexddf7bb0

232750000 has 210 divisors, whose sum is σ = 690225540. Its totient is φ = 75600000.

The previous prime is 232749997. The next prime is 232750051. The reversal of 232750000 is 57232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 232750000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 12249991 + ... + 12250009.

Almost surely, 2232750000 is an apocalyptic number.

232750000 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 232750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345112770).

232750000 is an abundant number, since it is smaller than the sum of its proper divisors (457475540).

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

232750000 is an frugal number, since it uses more digits than its factorization.

232750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 232750000 is about 15256.1463023924. The cubic root of 232750000 is about 615.1247901528.

Multiplying 232750000 by its sum of digits (19), we get a square (4422250000 = 665002).

232750000 divided by its sum of digits (19) gives a square (12250000 = 35002).

The spelling of 232750000 in words is "two hundred thirty-two million, seven hundred fifty thousand".