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5221981440 = 283351359197
BaseRepresentation
bin1001101110100000…
…10001110100000000
3111110221002010212000
410313100101310000
541143311401230
62222101104000
7243256052454
oct46720216400
914427063760
105221981440
11223a743a45
1210189b8000
13652b41160
14377766664
152086a3b60
hex137411d00

5221981440 has 576 divisors, whose sum is σ = 20397484800. Its totient is φ = 1257209856.

The previous prime is 5221981423. The next prime is 5221981463. The reversal of 5221981440 is 441891225.

5221981440 is a `hidden beast` number, since 5 + 22 + 198 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 5221981395 and 5221981404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26507422 + ... + 26507618.

It is an arithmetic number, because the mean of its divisors is an integer number (35412300).

Almost surely, 25221981440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5221981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198742400).

5221981440 is an abundant number, since it is smaller than the sum of its proper divisors (15175503360).

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

5221981440 is a wasteful number, since it uses less digits than its factorization.

5221981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5221981440 is about 72263.2786413681. The cubic root of 5221981440 is about 1734.9159562531.

The spelling of 5221981440 in words is "five billion, two hundred twenty-one million, nine hundred eighty-one thousand, four hundred forty".