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231985152 = 2123272931
BaseRepresentation
bin11011101001111…
…01000000000000
3121011112001210200
431310331000000
5433342011102
635004125200
75514561360
oct1564750000
9534461720
10231985152
11109a49973
1265836800
13390a5a29
1422b4a9a0
151557651c
hexdd3d000

231985152 has 312 divisors, whose sum is σ = 817789440. Its totient is φ = 61931520.

The previous prime is 231985141. The next prime is 231985157. The reversal of 231985152 is 251589132.

It is a super-2 number, since 2×2319851522 = 107634221496926208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21600) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231985157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7483377 + ... + 7483407.

It is an arithmetic number, because the mean of its divisors is an integer number (2621120).

Almost surely, 2231985152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408894720).

231985152 is an abundant number, since it is smaller than the sum of its proper divisors (585804288).

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

231985152 is a wasteful number, since it uses less digits than its factorization.

231985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 231985152 is about 15231.0587944502. The cubic root of 231985152 is about 614.4502563057.

The spelling of 231985152 in words is "two hundred thirty-one million, nine hundred eighty-five thousand, one hundred fifty-two".