Search a number
-
+
232103199744 = 2103213472877
BaseRepresentation
bin1101100000101001101…
…1011100010000000000
3211012002200010012112100
43120022123130100000
512300321404342434
6254343213030400
722524506434353
oct3301233342000
9735080105470
10232103199744
118a486229339
1238b96a85400
1318b6c352660
14b33b9aa29a
156086a48699
hex360a6dc400

232103199744 has 396 divisors, whose sum is σ = 738270143884. Its totient is φ = 69817171968.

The previous prime is 232103199737. The next prime is 232103199763. The reversal of 232103199744 is 447991301232.

232103199744 is a `hidden beast` number, since 2 + 321 + 0 + 319 + 9 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114514560000 + 117588639744 = 338400^2 + 342912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232103199744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264655434 + ... + 264656310.

Almost surely, 2232103199744 is an apocalyptic number.

232103199744 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 232103199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369135071942).

232103199744 is an abundant number, since it is smaller than the sum of its proper divisors (506166944140).

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

232103199744 is a wasteful number, since it uses less digits than its factorization.

232103199744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 232103199744 in words is "two hundred thirty-two billion, one hundred three million, one hundred ninety-nine thousand, seven hundred forty-four".