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21892332420 = 2232571723371201
BaseRepresentation
bin10100011000111000…
…100111101110000100
32002111201021201022200
4110120320213232010
5324313414114140
614020204354500
71403340520020
oct243070475604
962451251280
1021892332420
119314718412
1242ab845a30
1320ab75546a
1410b9755380
15881e62030
hex518e27b84

21892332420 has 576 divisors, whose sum is σ = 86189515776. Its totient is φ = 4379443200.

The previous prime is 21892332419. The next prime is 21892332491. The reversal of 21892332420 is 2423329812.

21892332420 is a `hidden beast` number, since 2 + 189 + 23 + 32 + 420 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18227820 + ... + 18229020.

It is an arithmetic number, because the mean of its divisors is an integer number (149634576).

Almost surely, 221892332420 is an apocalyptic number.

21892332420 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 21892332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43094757888).

21892332420 is an abundant number, since it is smaller than the sum of its proper divisors (64297183356).

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

21892332420 is a wasteful number, since it uses less digits than its factorization.

21892332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1295 counting only the distinct ones).

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

The spelling of 21892332420 in words is "twenty-one billion, eight hundred ninety-two million, three hundred thirty-two thousand, four hundred twenty".