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230987919360 = 21235111312609
BaseRepresentation
bin1101011100011111110…
…0111111000000000000
3211002012221112002110110
43113013330333000000
512241030401404420
6254040412431320
722455044630142
oct3270774770000
9732187462413
10230987919360
1189a63727710
1238925478540
1318a22281833
14b273810c92
15601db94ee0
hex35c7f3f000

230987919360 has 416 divisors, whose sum is σ = 812725436160. Its totient is φ = 55548313600.

The previous prime is 230987919301. The next prime is 230987919361. The reversal of 230987919360 is 63919789032.

230987919360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230987919360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230987919361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88533736 + ... + 88536344.

Almost surely, 2230987919360 is an apocalyptic number.

230987919360 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 230987919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406362718080).

230987919360 is an abundant number, since it is smaller than the sum of its proper divisors (581737516800).

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

230987919360 is a wasteful number, since it uses less digits than its factorization.

230987919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 230987919360 in words is "two hundred thirty billion, nine hundred eighty-seven million, nine hundred nineteen thousand, three hundred sixty".