Search a number
-
+
234049725000 = 23325572132371
BaseRepresentation
bin1101100111111001110…
…0110110001001001000
3211101010022211221012100
43121332130312021020
512313313212200000
6255304305513400
722623653560200
oct3317634661110
9741108757170
10234049725000
1190294a715a3
123943a942860
13190bc6c5b50
14b484305400
15614c896a00
hex367e736248

234049725000 has 1728 divisors, whose sum is σ = 1050300276480. Its totient is φ = 46569600000.

The previous prime is 234049724989. The next prime is 234049725047. The reversal of 234049725000 is 527940432.

234049725000 is a `hidden beast` number, since 2 + 3 + 40 + 49 + 72 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3296474965 + ... + 3296475035.

It is an arithmetic number, because the mean of its divisors is an integer number (607812660).

Almost surely, 2234049725000 is an apocalyptic number.

234049725000 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 234049725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525150138240).

234049725000 is an abundant number, since it is smaller than the sum of its proper divisors (816250551480).

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

234049725000 is a wasteful number, since it uses less digits than its factorization.

234049725000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 234049725000 in words is "two hundred thirty-four billion, forty-nine million, seven hundred twenty-five thousand".