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229954972896 = 253311297391129
BaseRepresentation
bin1101011000101001100…
…0100110110011100000
3210222112221211222022000
43112022120212303200
512231421433113041
6253350113044000
722420333006335
oct3261230466340
9728487758260
10229954972896
1189583650750
1238697556600
13188b927a4cc
14b1b656898c
155ead156bb6
hex358a626ce0

229954972896 has 384 divisors, whose sum is σ = 758600640000. Its totient is φ = 67129896960.

The previous prime is 229954972873. The next prime is 229954972903. The reversal of 229954972896 is 698279459922.

229954972896 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 549 + 72 + 8 + 9 + 6 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203679660 + ... + 203680788.

It is an arithmetic number, because the mean of its divisors is an integer number (1975522500).

Almost surely, 2229954972896 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 229954972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379300320000).

229954972896 is an abundant number, since it is smaller than the sum of its proper divisors (528645667104).

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

229954972896 is a wasteful number, since it uses less digits than its factorization.

229954972896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1913 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 229954972896 in words is "two hundred twenty-nine billion, nine hundred fifty-four million, nine hundred seventy-two thousand, eight hundred ninety-six".