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20022499200 = 273521131567
BaseRepresentation
bin10010101001011011…
…110001011110000000
31220200101212100100110
4102221123301132000
5312001224433300
613110451351320
71306114302144
oct225133613600
956611770313
1020022499200
1185451a7000
123a695b2540
131b71254782
14d7d2a1224
157c2c12550
hex4a96f1780

20022499200 has 384 divisors, whose sum is σ = 72585354240. Its totient is φ = 4850841600.

The previous prime is 20022499121. The next prime is 20022499219. The reversal of 20022499200 is 299422002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12776817 + ... + 12778383.

It is an arithmetic number, because the mean of its divisors is an integer number (189024360).

Almost surely, 220022499200 is an apocalyptic number.

20022499200 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 20022499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36292677120).

20022499200 is an abundant number, since it is smaller than the sum of its proper divisors (52562855040).

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

20022499200 is a wasteful number, since it uses less digits than its factorization.

20022499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 20022499200 in words is "twenty billion, twenty-two million, four hundred ninety-nine thousand, two hundred".