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21551503220 = 225133741101541
BaseRepresentation
bin10100000100100100…
…011101011101110100
32001121221221210112222
4110010210131131310
5323114141100340
613522311301512
71362031516622
oct240444353564
961557853488
1021551503220
11915a297395
12421567a898
132055c60590
141086394512
1586208a8b5
hex50491d774

21551503220 has 192 divisors, whose sum is σ = 51881159232. Its totient is φ = 7464960000.

The previous prime is 21551503219. The next prime is 21551503223. The reversal of 21551503220 is 2230515512.

It can be written as a sum of positive squares in 32 ways, for example, as 12480464656 + 9071038564 = 111716^2 + 95242^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 21551503220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21551503223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39836150 + ... + 39836690.

It is an arithmetic number, because the mean of its divisors is an integer number (270214371).

Almost surely, 221551503220 is an apocalyptic number.

21551503220 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 21551503220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25940579616).

21551503220 is an abundant number, since it is smaller than the sum of its proper divisors (30329656012).

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

21551503220 is a wasteful number, since it uses less digits than its factorization.

21551503220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 21551503220 in words is "twenty-one billion, five hundred fifty-one million, five hundred three thousand, two hundred twenty".