Search a number
-
+
15223713120 = 253257113143103
BaseRepresentation
bin11100010110110011…
…10110110101100000
31110021222002202101200
432023121312311200
5222134232304440
610554345001200
71046154266160
oct161331666540
943258082350
1015223713120
116502430aa0
122b4a483200
131587cb6895
14a45c1a5a0
155e17a4c30
hex38b676d60

15223713120 has 1152 divisors, whose sum is σ = 69078417408. Its totient is φ = 2961100800.

The previous prime is 15223713107. The next prime is 15223713149. The reversal of 15223713120 is 2131732251.

15223713120 is a `hidden beast` number, since 1 + 522 + 3 + 7 + 13 + 120 = 666.

It is a super-2 number, since 2×152237131202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147802989 + ... + 147803091.

It is an arithmetic number, because the mean of its divisors is an integer number (59963904).

Almost surely, 215223713120 is an apocalyptic number.

15223713120 is a gapful number since it is divisible by the number (10) 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 15223713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34539208704).

15223713120 is an abundant number, since it is smaller than the sum of its proper divisors (53854704288).

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

15223713120 is a wasteful number, since it uses less digits than its factorization.

15223713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 15223713120 in words is "fifteen billion, two hundred twenty-three million, seven hundred thirteen thousand, one hundred twenty".