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231797984 = 25114714011
BaseRepresentation
bin11011101000011…
…11010011100000
3121011011120001112
431310033103200
5433320013414
635000122452
75513151605
oct1564172340
9534146045
10231797984
11109931290
1265766428
133903b792
1422adc6ac
151553ad3e
hexdd0f4e0

231797984 has 48 divisors (see below), whose sum is σ = 508467456. Its totient is φ = 103113600.

The previous prime is 231797971. The next prime is 231797999. The reversal of 231797984 is 489797132.

231797984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9539 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (10593072).

Almost surely, 2231797984 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 231797984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254233728).

231797984 is an abundant number, since it is smaller than the sum of its proper divisors (276669472).

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

231797984 is a wasteful number, since it uses less digits than its factorization.

231797984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14079 (or 14071 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 231797984 is about 15224.9132674048. The cubic root of 231797984 is about 614.2849635882.

The spelling of 231797984 in words is "two hundred thirty-one million, seven hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 4136 8272 14011 16544 28022 56044 112088 154121 224176 308242 448352 616484 658517 1232968 1317034 2465936 2634068 4931872 5268136 7243687 10536272 14487374 21072544 28974748 57949496 115898992 231797984