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15223546340 = 22531101324239
BaseRepresentation
bin11100010110110010…
…01110000111100100
31110021221210021121122
432023121032013210
5222134211440330
610554341233112
71046153003012
oct161331160744
943257707548
1015223546340
116502327762
122b4a402798
131587c589b2
14a45bb58b2
155e17705e5
hex38b64e1e4

15223546340 has 48 divisors (see below), whose sum is σ = 33034659840. Its totient is φ = 5886925440.

The previous prime is 15223546333. The next prime is 15223546381. The reversal of 15223546340 is 4364532251.

15223546340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152235463402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15223546340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615941 + ... + 640179.

It is an arithmetic number, because the mean of its divisors is an integer number (688222080).

Almost surely, 215223546340 is an apocalyptic number.

15223546340 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 15223546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517329920).

15223546340 is an abundant number, since it is smaller than the sum of its proper divisors (17811113500).

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

15223546340 is a wasteful number, since it uses less digits than its factorization.

15223546340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25292 (or 25290 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 15223546340 in words is "fifteen billion, two hundred twenty-three million, five hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1013 2026 4052 5065 10130 20260 24239 31403 48478 62806 96956 121195 125612 157015 242390 314030 484780 628060 751409 1502818 3005636 3757045 7514090 15028180 24554107 49108214 98216428 122770535 245541070 491082140 761177317 1522354634 3044709268 3805886585 7611773170 15223546340