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23422604160 = 273519247719
BaseRepresentation
bin10101110100000110…
…001001001110000000
32020110100202120111210
4111310012021032000
5340432141313120
614432111410120
71456301564454
oct256406111600
966410676453
1023422604160
119a2a4a41aa
124658223940
1322937b62b7
1411c2a98664
1592148ace0
hex574189380

23422604160 has 384 divisors, whose sum is σ = 80584243200. Its totient is φ = 5783334912.

The previous prime is 23422604159. The next prime is 23422604213. The reversal of 23422604160 is 6140622432.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32576281 + ... + 32576999.

It is an arithmetic number, because the mean of its divisors is an integer number (209854800).

Almost surely, 223422604160 is an apocalyptic number.

23422604160 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 23422604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40292121600).

23422604160 is an abundant number, since it is smaller than the sum of its proper divisors (57161639040).

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

23422604160 is a wasteful number, since it uses less digits than its factorization.

23422604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 23422604160 in words is "twenty-three billion, four hundred twenty-two million, six hundred four thousand, one hundred sixty".