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23068972800 = 283352177853
BaseRepresentation
bin10101011111000001…
…001001011100000000
32012112201100020111000
4111133001021130000
5334221124112200
614333040052000
71444446014316
oct253701113400
965481306430
1023068972800
119868919785
124579904000
13223845b283
14118bb240b6
159003d6300
hex55f049700

23068972800 has 432 divisors, whose sum is σ = 89578954080. Its totient is φ = 5789122560.

The previous prime is 23068972789. The next prime is 23068972841. The reversal of 23068972800 is 827986032.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2933674 + ... + 2941526.

It is an arithmetic number, because the mean of its divisors is an integer number (207358690).

Almost surely, 223068972800 is an apocalyptic number.

23068972800 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 23068972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44789477040).

23068972800 is an abundant number, since it is smaller than the sum of its proper divisors (66509981280).

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

23068972800 is a wasteful number, since it uses less digits than its factorization.

23068972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 23068972800 in words is "twenty-three billion, sixty-eight million, nine hundred seventy-two thousand, eight hundred".