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15212230440 = 23351122351679
BaseRepresentation
bin11100010101011100…
…00011011100101000
31110021011111101010020
432022232003130220
5222123312333230
610553254520440
71045654553031
oct161256033450
943234441106
1015212230440
1164a69a8980
122b46666120
1315857c61b4
14a444aba88
155e0787810
hex38ab83728

15212230440 has 128 divisors (see below), whose sum is σ = 50009702400. Its totient is φ = 3671205120.

The previous prime is 15212230427. The next prime is 15212230477. The reversal of 15212230440 is 4403221251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15212230440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268521 + ... + 320199.

It is an arithmetic number, because the mean of its divisors is an integer number (390700800).

Almost surely, 215212230440 is an apocalyptic number.

15212230440 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 15212230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25004851200).

15212230440 is an abundant number, since it is smaller than the sum of its proper divisors (34797471960).

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

15212230440 is a wasteful number, since it uses less digits than its factorization.

15212230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51927 (or 51923 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 15212230440 its reverse (4403221251), we get a palindrome (19615451691).

The spelling of 15212230440 in words is "fifteen billion, two hundred twelve million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 223 264 330 440 446 660 669 892 1115 1320 1338 1784 2230 2453 2676 3345 4460 4906 5352 6690 7359 8920 9812 12265 13380 14718 19624 24530 26760 29436 36795 49060 51679 58872 73590 98120 103358 147180 155037 206716 258395 294360 310074 413432 516790 568469 620148 775185 1033580 1136938 1240296 1550370 1705407 2067160 2273876 2842345 3100740 3410814 4547752 5684690 6201480 6821628 8527035 11369380 11524417 13643256 17054070 22738760 23048834 34108140 34573251 46097668 57622085 68216280 69146502 92195336 115244170 126768587 138293004 172866255 230488340 253537174 276586008 345732510 380305761 460976680 507074348 633842935 691465020 760611522 1014148696 1267685870 1382930040 1521223044 1901528805 2535371740 3042446088 3803057610 5070743480 7606115220 15212230440