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232250000 = 2456929
BaseRepresentation
bin11011101011111…
…01101010010000
3121012000112002212
431311331222100
5433424000000
635013531252
75520043463
oct1565755220
9535015085
10232250000
1110a10a954
1265943b28
1339169448
1422bb92da
15155c9c35
hexdd7da90

232250000 has 70 divisors (see below), whose sum is σ = 563078730. Its totient is φ = 92800000.

The previous prime is 232249993. The next prime is 232250003. The reversal of 232250000 is 52232.

232250000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 204032656 + 28217344 = 14284^2 + 5312^2 .

It is not an unprimeable number, because it can be changed into a prime (232250003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 249536 + ... + 250464.

Almost surely, 2232250000 is an apocalyptic number.

232250000 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 232250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281539365).

232250000 is an abundant number, since it is smaller than the sum of its proper divisors (330828730).

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

232250000 is an frugal number, since it uses more digits than its factorization.

232250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 232250000 is about 15239.7506541282. The cubic root of 232250000 is about 614.6839983213.

The spelling of 232250000 in words is "two hundred thirty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 929 1000 1250 1858 2000 2500 3125 3716 4645 5000 6250 7432 9290 10000 12500 14864 15625 18580 23225 25000 31250 37160 46450 50000 62500 74320 92900 116125 125000 185800 232250 250000 371600 464500 580625 929000 1161250 1858000 2322500 2903125 4645000 5806250 9290000 11612500 14515625 23225000 29031250 46450000 58062500 116125000 232250000