Search a number
-
+
232856706432 = 2737198951229
BaseRepresentation
bin1101100011011101010…
…1110101110110000000
3211021001011222022101110
43120313111311312000
512303342304101212
6254550051203320
722552256230020
oct3306725656600
9737034868343
10232856706432
118a8325a4039
12391672a6540
1318c5c4a72bc
14b3adab1a80
1560ccc89a3c
hex3637575d80

232856706432 has 256 divisors, whose sum is σ = 752466240000. Its totient is φ = 62319476736.

The previous prime is 232856706419. The next prime is 232856706443. The reversal of 232856706432 is 234607658232.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4519794 + ... + 4571022.

It is an arithmetic number, because the mean of its divisors is an integer number (2939321250).

Almost surely, 2232856706432 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 232856706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376233120000).

232856706432 is an abundant number, since it is smaller than the sum of its proper divisors (519609533568).

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

232856706432 is a wasteful number, since it uses less digits than its factorization.

232856706432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51361 (or 51349 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 232856706432 in words is "two hundred thirty-two billion, eight hundred fifty-six million, seven hundred six thousand, four hundred thirty-two".