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232197984 = 25327271109
BaseRepresentation
bin11011101011100…
…00111101100000
3121011220212202100
431311300331200
5433420313414
635012450400
75516436024
oct1565607540
9534825670
10232197984
1110a084867
1265919a00
133914b875
1422ba4384
15155b9609
hexdd70f60

232197984 has 72 divisors (see below), whose sum is σ = 661817520. Its totient is φ = 77223168.

The previous prime is 232197961. The next prime is 232197989. The reversal of 232197984 is 489791232.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232197989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208822 + ... + 209930.

It is an arithmetic number, because the mean of its divisors is an integer number (9191910).

Almost surely, 2232197984 is an apocalyptic number.

232197984 is a gapful number since it is divisible by the number (24) 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 232197984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330908760).

232197984 is an abundant number, since it is smaller than the sum of its proper divisors (429619536).

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

232197984 is a wasteful number, since it uses less digits than its factorization.

232197984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1841 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 232197984 is about 15238.0439689614. The cubic root of 232197984 is about 614.6381055476.

The spelling of 232197984 in words is "two hundred thirty-two million, one hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 727 1109 1454 2181 2218 2908 3327 4362 4436 5816 6543 6654 8724 8872 9981 11632 13086 13308 17448 17744 19962 23264 26172 26616 34896 35488 39924 52344 53232 69792 79848 104688 106464 159696 209376 319392 806243 1612486 2418729 3224972 4837458 6449944 7256187 9674916 12899888 14512374 19349832 25799776 29024748 38699664 58049496 77399328 116098992 232197984