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15225355340 = 22513234912907
BaseRepresentation
bin11100010111000000…
…00111110001001100
31110022002012012002122
432023200013301030
5222140142332330
610554444112112
71046204246036
oct161340076114
943262165078
1015225355340
1165033528a8
122b4ab35638
131588440200
14a46126c56
155e19cb5e5
hex38b807c4c

15225355340 has 72 divisors (see below), whose sum is σ = 34723810800. Its totient is φ = 5605127424.

The previous prime is 15225355319. The next prime is 15225355349. The reversal of 15225355340 is 4355352251.

It is a super-2 number, since 2×152253553402 (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 15225355340.

It is not an unprimeable number, because it can be changed into a prime (15225355349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173167 + ... + 1186073.

It is an arithmetic number, because the mean of its divisors is an integer number (482275150).

Almost surely, 215225355340 is an apocalyptic number.

15225355340 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 15225355340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17361905400).

15225355340 is an abundant number, since it is smaller than the sum of its proper divisors (19498455460).

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

15225355340 is a wasteful number, since it uses less digits than its factorization.

15225355340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13291 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 15225355340 in words is "fifteen billion, two hundred twenty-five million, three hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 349 676 698 845 1396 1690 1745 3380 3490 4537 6980 9074 12907 18148 22685 25814 45370 51628 58981 64535 90740 117962 129070 167791 235924 258140 294905 335582 589810 671164 838955 1179620 1677910 2181283 3355820 4362566 4504543 8725132 9009086 10906415 18018172 21812830 22522715 43625660 45045430 58559059 90090860 117118118 234236236 292795295 585590590 761267767 1171181180 1522535534 3045071068 3806338835 7612677670 15225355340