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21480222720 = 212351137859
BaseRepresentation
bin10100000000010100…
…100011000000000000
32001102222211101002110
4110000110203000000
5322442414111340
613511243415320
71360204611015
oct240024430000
961388741073
1021480222720
119123031290
1241b5824540
132044263c78
14107ab1b70c
1585abaa680
hex500523000

21480222720 has 416 divisors, whose sum is σ = 77092381440. Its totient is φ = 5060689920.

The previous prime is 21480222719. The next prime is 21480222727. The reversal of 21480222720 is 2722208412.

It is a super-2 number, since 2×214802227202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21480222727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25005651 + ... + 25006509.

Almost surely, 221480222720 is an apocalyptic number.

21480222720 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 21480222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38546190720).

21480222720 is an abundant number, since it is smaller than the sum of its proper divisors (55612158720).

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

21480222720 is a wasteful number, since it uses less digits than its factorization.

21480222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 21480222720 in words is "twenty-one billion, four hundred eighty million, two hundred twenty-two thousand, seven hundred twenty".