Search a number
-
+
232253453514240 = 2932521147774621
BaseRepresentation
bin110100110011101110111000…
…100110000011011000000000
31010110100012202111200020001200
4310303232320212003120000
5220420220033044423430
62141543432534101200
766630521042601354
oct6463567046033000
91113305674606050
10232253453514240
1168004155745834
12220703377aa800
139c79539663012
14414d1acbad464
151bcb6a2e38460
hexd33bb8983600

232253453514240 has 240 divisors, whose sum is σ = 808171175828016. Its totient is φ = 61640725708800.

The previous prime is 232253453514211. The next prime is 232253453514289. The reversal of 232253453514240 is 42415354352232.

It is a happy number.

232253453514240 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 5 + 34 + 535 + 1 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19025871 + ... + 28748750.

Almost surely, 2232253453514240 is an apocalyptic number.

232253453514240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232253453514240 is an abundant number, since it is smaller than the sum of its proper divisors (575917722313776).

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

232253453514240 is a wasteful number, since it uses less digits than its factorization.

232253453514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47774861 (or 47774842 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 232253453514240 in words is "two hundred thirty-two trillion, two hundred fifty-three billion, four hundred fifty-three million, five hundred fourteen thousand, two hundred forty".