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231937920 = 2732567601
BaseRepresentation
bin11011101001100…
…01011110000000
3121011102200000100
431310301132000
5433334003140
635003122400
75514303564
oct1564613600
9534380010
10231937920
11109a17435
1265813400
133908a396
1422b376a4
1515567530
hexdd31780

231937920 has 192 divisors, whose sum is σ = 814217040. Its totient is φ = 60825600.

The previous prime is 231937913. The next prime is 231937949. The reversal of 231937920 is 29739132.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385620 + ... + 386220.

Almost surely, 2231937920 is an apocalyptic number.

231937920 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 231937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407108520).

231937920 is an abundant number, since it is smaller than the sum of its proper divisors (582279120).

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

231937920 is a wasteful number, since it uses less digits than its factorization.

231937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 231937920 is about 15229.5081995447. The cubic root of 231937920 is about 614.4085529408.

It can be divided in two parts, 23193 and 7920, that added together give a palindrome (31113).

The spelling of 231937920 in words is "two hundred thirty-one million, nine hundred thirty-seven thousand, nine hundred twenty".