Search a number
-
+
232253451150201 = 321319993710645931
BaseRepresentation
bin110100110011101110111000…
…011101000010001101111001
31010110100012202100020010012200
4310303232320131002031321
5220420220031443301301
62141543432411300413
766630521013524205
oct6463567035021571
91113305670203180
10232253451150201
1168004154380688
1222070336a4a709
139c79539015c90
14414d1ac755b05
151bcb6a2b1cc86
hexd33bb8742379

232253451150201 has 48 divisors (see below), whose sum is σ = 363486185462400. Its totient is φ = 142055201882880.

The previous prime is 232253451150137. The next prime is 232253451150211. The reversal of 232253451150201 is 102051154352232.

232253451150201 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 53 + 451 + 150 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 232253451150201 - 26 = 232253451150137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232253451150211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16493206 + ... + 27139136.

It is an arithmetic number, because the mean of its divisors is an integer number (7572628863800).

Almost surely, 2232253451150201 is an apocalyptic number.

It is an amenable number.

232253451150201 is a deficient number, since it is larger than the sum of its proper divisors (131232734312199).

232253451150201 is a wasteful number, since it uses less digits than its factorization.

232253451150201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10647086 (or 10647083 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 232253451150201 in words is "two hundred thirty-two trillion, two hundred fifty-three billion, four hundred fifty-one million, one hundred fifty thousand, two hundred one".

Divisors: 1 3 9 13 39 117 199 597 937 1791 2587 2811 7761 8433 12181 23283 36543 109629 186463 559389 1678167 2424019 7272057 10645931 21816171 31937793 95813379 138397103 415191309 1245573927 2118540269 6355620807 9975237347 19066862421 27541023497 29925712041 82623070491 89777136123 129678085511 247869211473 389034256533 1167102769599 1985072232053 5955216696159 17865650088477 25805939016689 77417817050067 232253451150201