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15340500224 = 28716015347
BaseRepresentation
bin11100100100101110…
…10111010100000000
31110121002212011011222
432102113113110000
5222404132001344
611014120054212
71052103046310
oct162227272400
943532764158
1015340500224
116562348965
122b81604368
1315a625728a
14a5753b440
155ebb735ee
hex3925d7500

15340500224 has 72 divisors (see below), whose sum is σ = 35023923648. Its totient is φ = 6569164800.

The previous prime is 15340500223. The next prime is 15340500251. The reversal of 15340500224 is 42200504351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 15340500193 and 15340500202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15340500221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2866319 + ... + 2871665.

It is an arithmetic number, because the mean of its divisors is an integer number (486443384).

Almost surely, 215340500224 is an apocalyptic number.

15340500224 is a gapful number since it is divisible by the number (14) 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 15340500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17511961824).

15340500224 is an abundant number, since it is smaller than the sum of its proper divisors (19683423424).

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

15340500224 is an equidigital number, since it uses as much as digits as its factorization.

15340500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 15340500224 in words is "fifteen billion, three hundred forty million, five hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1601 1792 3202 5347 6404 10694 11207 12808 21388 22414 25616 37429 42776 44828 51232 74858 85552 89656 102464 149716 171104 179312 204928 299432 342208 358624 409856 598864 684416 717248 1197728 1368832 1434496 2395456 2868992 4790912 8560547 9581824 17121094 34242188 59923829 68484376 119847658 136968752 239695316 273937504 479390632 547875008 958781264 1095750016 1917562528 2191500032 3835125056 7670250112 15340500224