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231795000 = 23335417101
BaseRepresentation
bin11011101000011…
…10100100111000
3121011011101222000
431310032210320
5433314420000
635000101000
75513140113
oct1564164470
9534141860
10231795000
1110992a018
1265764760
133903a308
1422adb57a
151553a000
hexdd0e938

231795000 has 320 divisors, whose sum is σ = 860349600. Its totient is φ = 57600000.

The previous prime is 231794977. The next prime is 231795007. The reversal of 231795000 is 597132.

231795000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231795007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2294950 + ... + 2295050.

Almost surely, 2231795000 is an apocalyptic number.

231795000 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 231795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430174800).

231795000 is an abundant number, since it is smaller than the sum of its proper divisors (628554600).

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

231795000 is a wasteful number, since it uses less digits than its factorization.

231795000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 231795000 is about 15224.8152698153. The cubic root of 231795000 is about 614.2823276230.

The spelling of 231795000 in words is "two hundred thirty-one million, seven hundred ninety-five thousand".