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20235700800 = 2633527611097
BaseRepresentation
bin10010110110001001…
…000100101001000000
31221020021001002222000
4102312021010221000
5312420314411200
613143545144000
71314313422150
oct226611045100
957207032860
1020235700800
118644586577
123b08a8b000
131ba6481973
14d9d71c760
157d67c8300
hex4b6244a40

20235700800 has 672 divisors, whose sum is σ = 85764867840. Its totient is φ = 4545331200.

The previous prime is 20235700781. The next prime is 20235700843. The reversal of 20235700800 is 800753202.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 18445852 + ... + 18446948.

Almost surely, 220235700800 is an apocalyptic number.

20235700800 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 20235700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42882433920).

20235700800 is an abundant number, since it is smaller than the sum of its proper divisors (65529167040).

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

20235700800 is a wasteful number, since it uses less digits than its factorization.

20235700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20235700800 in words is "twenty billion, two hundred thirty-five million, seven hundred thousand, eight hundred".