Search a number
-
+
232114200000 = 26355478231
BaseRepresentation
bin1101100000101100010…
…1011001110111000000
3211012010102211002001020
43120023011121313000
512300332213400000
6254344244505440
722525002101154
oct3301305316700
9735112732036
10232114200000
118a491461a61
1238b9a6ab280
1318b71704597
14b33d231064
1560879bcba0
hex360b159dc0

232114200000 has 336 divisors, whose sum is σ = 784047817728. Its totient is φ = 60572800000.

The previous prime is 232114199983. The next prime is 232114200053. The reversal of 232114200000 is 2411232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28195885 + ... + 28204115.

It is an arithmetic number, because the mean of its divisors is an integer number (2333475648).

Almost surely, 2232114200000 is an apocalyptic number.

232114200000 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 232114200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392023908864).

232114200000 is an abundant number, since it is smaller than the sum of its proper divisors (551933617728).

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

232114200000 is an frugal number, since it uses more digits than its factorization.

232114200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 232114200000 its reverse (2411232), we get a palindrome (232116611232).

The spelling of 232114200000 in words is "two hundred thirty-two billion, one hundred fourteen million, two hundred thousand".