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23422608000 = 273453113153
BaseRepresentation
bin10101110100000110…
…001010001010000000
32020110100202202210000
4111310012022022000
5340432141424000
614432111440000
71456301611611
oct256406121200
966410682700
1023422608000
119a2a4a7080
124658226000
1322937b7c7c
1411c2a99c08
1592148c000
hex57418a280

23422608000 has 1280 divisors, whose sum is σ = 99810247680. Its totient is φ = 5391360000.

The previous prime is 23422607993. The next prime is 23422608023. The reversal of 23422608000 is 80622432.

23422608000 is a `hidden beast` number, since 2 + 34 + 22 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 441935974 + ... + 441936026.

It is an arithmetic number, because the mean of its divisors is an integer number (77976756).

Almost surely, 223422608000 is an apocalyptic number.

23422608000 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 23422608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49905123840).

23422608000 is an abundant number, since it is smaller than the sum of its proper divisors (76387639680).

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

23422608000 is a wasteful number, since it uses less digits than its factorization.

23422608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 23422608000 in words is "twenty-three billion, four hundred twenty-two million, six hundred eight thousand".