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23422089600 = 273552713331
BaseRepresentation
bin10101110100000100…
…001011100110000000
32020110022210102200000
4111310010023212000
5340432023331400
614432052400000
71456264322340
oct256404134600
966408712600
1023422089600
119a2a182648
124658016000
132293666020
1411c29a2d20
159213d8600
hex57410b980

23422089600 has 1152 divisors, whose sum is σ = 106993985280. Its totient is φ = 4926873600.

The previous prime is 23422089599. The next prime is 23422089611. The reversal of 23422089600 is 698022432.

23422089600 is a `hidden beast` number, since 2 + 3 + 42 + 2 + 0 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 70761435 + ... + 70761765.

Almost surely, 223422089600 is an apocalyptic number.

23422089600 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 23422089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53496992640).

23422089600 is an abundant number, since it is smaller than the sum of its proper divisors (83571895680).

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

23422089600 is a wasteful number, since it uses less digits than its factorization.

23422089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23422089600 in words is "twenty-three billion, four hundred twenty-two million, eighty-nine thousand, six hundred".