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232690000 = 245423269
BaseRepresentation
bin11011101111010…
…01000101010000
3121012211212200011
431313221011100
5434032040000
635031204304
75523555334
oct1567510520
9535755604
10232690000
1110a390494
1265b16694
13392917ba
1422c917c4
15156652ba
hexdde9150

232690000 has 50 divisors (see below), whose sum is σ = 563389970. Its totient is φ = 93072000.

The previous prime is 232689991. The next prime is 232690001. The reversal of 232690000 is 96232.

232690000 is digitally balanced in base 2, 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 5 ways, for example, as 102090816 + 130599184 = 10104^2 + 11428^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×2326900002 = 108289272200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232690001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1635 + ... + 21634.

Almost surely, 2232690000 is an apocalyptic number.

232690000 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 232690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281694985).

232690000 is an abundant number, since it is smaller than the sum of its proper divisors (330699970).

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

232690000 is an equidigital number, since it uses as much as digits as its factorization.

232690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23297 (or 23276 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 232690000 is about 15254.1797550704. The cubic root of 232690000 is about 615.0719284854.

The spelling of 232690000 in words is "two hundred thirty-two million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 23269 46538 93076 116345 186152 232690 372304 465380 581725 930760 1163450 1861520 2326900 2908625 4653800 5817250 9307600 11634500 14543125 23269000 29086250 46538000 58172500 116345000 232690000