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229195140039840 = 253513193765979283
BaseRepresentation
bin110100000111001110100110…
…111010000000010010100000
31010001111211201101022112001110
4310013032212322000102200
5220020113121322233330
62131242443242303320
766163542142151652
oct6407164672002240
91101454641275043
10229195140039840
11670351274a1707
12218576787b7b40
139ab70169153a0
1440851653dc6d2
151b76d59082db0
hexd073a6e804a0

229195140039840 has 768 divisors, whose sum is σ = 841827109939200. Its totient is φ = 51923829178368.

The previous prime is 229195140039799. The next prime is 229195140039869. The reversal of 229195140039840 is 48930041591922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2890808839 + ... + 2890888121.

It is an arithmetic number, because the mean of its divisors is an integer number (1096129049400).

Almost surely, 2229195140039840 is an apocalyptic number.

229195140039840 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 229195140039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420913554969600).

229195140039840 is an abundant number, since it is smaller than the sum of its proper divisors (612631969899360).

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

229195140039840 is a wasteful number, since it uses less digits than its factorization.

229195140039840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80029 (or 80021 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 229195140039840 in words is "two hundred twenty-nine trillion, one hundred ninety-five billion, one hundred forty million, thirty-nine thousand, eight hundred forty".