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229688643360 = 25351143919907
BaseRepresentation
bin1101010111101010000…
…0101000111100100000
3210221212101201000212010
43111322200220330200
512230400243041420
6253303440432520
722410620153361
oct3257240507440
9727771630763
10229688643360
11894572843a0
1238622318740
131887603b277
14b18d03bb68
155e94a994e0
hex357a828f20

229688643360 has 192 divisors, whose sum is σ = 789553142784. Its totient is φ = 55663795200.

The previous prime is 229688643343. The next prime is 229688643361. The reversal of 229688643360 is 63346886922.

229688643360 is digitally balanced in base 3, 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 229688643360.

It is not an unprimeable number, because it can be changed into a prime (229688643361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23179527 + ... + 23189433.

It is an arithmetic number, because the mean of its divisors is an integer number (4112255952).

Almost surely, 2229688643360 is an apocalyptic number.

229688643360 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 229688643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394776571392).

229688643360 is an abundant number, since it is smaller than the sum of its proper divisors (559864499424).

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

229688643360 is a wasteful number, since it uses less digits than its factorization.

229688643360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14327 (or 14319 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 229688643360 in words is "two hundred twenty-nine billion, six hundred eighty-eight million, six hundred forty-three thousand, three hundred sixty".