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229500425952 = 25347175912611
BaseRepresentation
bin1101010110111101001…
…0101001011011100000
3210221101021112121010000
43111233102221123200
512230004102112302
6253233034340000
722403143301520
oct3255722513340
9727337477100
10229500425952
1189370009916
123858b28a600
131884604b015
14b172045680
155e832bb31c
hex356f4a96e0

229500425952 has 480 divisors, whose sum is σ = 830660624640. Its totient is φ = 60663582720.

The previous prime is 229500425951. The next prime is 229500425971. The reversal of 229500425952 is 259524005922.

229500425952 is a `hidden beast` number, since 2 + 2 + 9 + 50 + 0 + 4 + 2 + 595 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 229500425898 and 229500425907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229500425951) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18192127 + ... + 18204737.

It is an arithmetic number, because the mean of its divisors is an integer number (1730542968).

Almost surely, 2229500425952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229500425952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415330312320).

229500425952 is an abundant number, since it is smaller than the sum of its proper divisors (601160198688).

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

229500425952 is a wasteful number, since it uses less digits than its factorization.

229500425952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 229500425952 in words is "two hundred twenty-nine billion, five hundred million, four hundred twenty-five thousand, nine hundred fifty-two".