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230225118816 = 2537111731113523
BaseRepresentation
bin1101011001101001111…
…1001000011001100000
3211000020210011210211110
43112122133020121200
512233000112300231
6253433003143320
722430123135640
oct3263237103140
9730223153743
10230225118816
1189702094340
1238751b14b40
1318930224874
14b2003aa520
155ec6c1a046
hex359a7c8660

230225118816 has 768 divisors, whose sum is σ = 832396787712. Its totient is φ = 53880422400.

The previous prime is 230225118803. The next prime is 230225118817. The reversal of 230225118816 is 618811522032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230225118817) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 440200731 + ... + 440201253.

It is an arithmetic number, because the mean of its divisors is an integer number (1083849984).

Almost surely, 2230225118816 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 230225118816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416198393856).

230225118816 is an abundant number, since it is smaller than the sum of its proper divisors (602171668896).

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

230225118816 is a wasteful number, since it uses less digits than its factorization.

230225118816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 230225118816 in words is "two hundred thirty billion, two hundred twenty-five million, one hundred eighteen thousand, eight hundred sixteen".