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229328789284800 = 2635522392938423
BaseRepresentation
bin110100001001001011000101…
…000001011010011111000000
31010001222121200121221121200000
4310021023011001122133000
5220024310330024103200
62131424105201400000
766206313120042312
oct6411130501323700
91101877617847600
10229328789284800
116708687aa64567
1221879557639000
139ac67c584c85a
14408b8033d57b2
151b7a57c484300
hexd092c505a7c0

229328789284800 has 1008 divisors, whose sum is σ = 851811950545920. Its totient is φ = 60683417948160.

The previous prime is 229328789284781. The next prime is 229328789284879. The reversal of 229328789284800 is 8482987823922.

229328789284800 is a `hidden beast` number, since 2 + 29 + 3 + 28 + 7 + 89 + 28 + 480 + 0 = 666.

It is a super-2 number, since 2×2293287892848002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 27226493389 + ... + 27226501811.

It is an arithmetic number, because the mean of its divisors is an integer number (845051538240).

Almost surely, 2229328789284800 is an apocalyptic number.

229328789284800 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 229328789284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425905975272960).

229328789284800 is an abundant number, since it is smaller than the sum of its proper divisors (622483161261120).

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

229328789284800 is a wasteful number, since it uses less digits than its factorization.

229328789284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 229328789284800 in words is "two hundred twenty-nine trillion, three hundred twenty-eight billion, seven hundred eighty-nine million, two hundred eighty-four thousand, eight hundred".