Search a number
-
+
15220650384 = 24342321492
BaseRepresentation
bin11100010110011100…
…01011000110010000
31110021202100011010000
432023032023012100
5222132441303014
610554155210000
71046116252002
oct161316130620
943252304100
1015220650384
116500729a05
122b49446900
131587483804
14a45660372
155e139c509
hex38b38b190

15220650384 has 225 divisors, whose sum is σ = 46362746353. Its totient is φ = 4820390784.

The previous prime is 15220650343. The next prime is 15220650391. The reversal of 15220650384 is 48305602251.

The square root of 15220650384 is 123372.

It is a perfect power (a square), and thus also a powerful number.

15220650384 is a `hidden beast` number, since 1 + 5 + 220 + 6 + 50 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1783203984 + 13437446400 = 42228^2 + 115920^2 .

It is a super-2 number, since 2×152206503842 (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 102151942 + ... + 102152090.

Almost surely, 215220650384 is an apocalyptic number.

15220650384 is the 123372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15220650384

15220650384 is an abundant number, since it is smaller than the sum of its proper divisors (31142095969).

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

15220650384 is an equidigital number, since it uses as much as digits as its factorization.

15220650384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 15220650384 by its sum of digits (36), we get a square (547943413824 = 7402322).

15220650384 divided by its sum of digits (36) gives a square (422795844 = 205622).

Multiplying 15220650384 by its product of nonzero digits (57600), we get a square (876709462118400 = 296092802).

The spelling of 15220650384 in words is "fifteen billion, two hundred twenty million, six hundred fifty thousand, three hundred eighty-four".