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23200054080 = 263577347293
BaseRepresentation
bin10101100110110101…
…001011101101000000
32012212211222212012020
4111212311023231000
5340003203212310
614354041401440
71450630130430
oct254665135500
965784885166
1023200054080
11992590a015
1245b5799280
132259664c68
1411a12c62c0
1590bb7a170
hex566d4bb40

23200054080 has 224 divisors, whose sum is σ = 85338050304. Its totient is φ = 5230116864.

The previous prime is 23200054067. The next prime is 23200054081. The reversal of 23200054080 is 8045000232.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23200054080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200054081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 466914 + ... + 514206.

Almost surely, 223200054080 is an apocalyptic number.

23200054080 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 23200054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42669025152).

23200054080 is an abundant number, since it is smaller than the sum of its proper divisors (62137996224).

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

23200054080 is a wasteful number, since it uses less digits than its factorization.

23200054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47393 (or 47383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 23200054080 in words is "twenty-three billion, two hundred million, fifty-four thousand, eighty".