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21472030800 = 2434521125477
BaseRepresentation
bin10011111111110101…
…010011000001010000
32001102102102011220000
4103333311103001100
5322433314441200
613510352050000
71360045151613
oct237765230120
961372364800
1021472030800
119119446600
1241b2b33900
13204265638c
1410799c817a
1585a0dd300
hex4ffd53050

21472030800 has 450 divisors, whose sum is σ = 84719313294. Its totient is φ = 5204390400.

The previous prime is 21472030781. The next prime is 21472030849. The reversal of 21472030800 is 803027412.

It can be written as a sum of positive squares in 3 ways, for example, as 7452523584 + 14019507216 = 86328^2 + 118404^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×214720308002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3917662 + ... + 3923138.

Almost surely, 221472030800 is an apocalyptic number.

21472030800 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 21472030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42359656647).

21472030800 is an abundant number, since it is smaller than the sum of its proper divisors (63247282494).

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

21472030800 is a wasteful number, since it uses less digits than its factorization.

21472030800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 21472030800 in words is "twenty-one billion, four hundred seventy-two million, thirty thousand, eight hundred".