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6225940872 = 23321725472
BaseRepresentation
bin1011100110001100…
…00101000110001000
3121001220012120021200
411303012011012020
5100222320101442
62505443304200
7310166424054
oct56306050610
917056176250
106225940872
112705421588
12125907b060
13782b365a8
14430c24c64
152668b834c
hex173185188

6225940872 has 108 divisors (see below), whose sum is σ = 17944952805. Its totient is φ = 1949665536.

The previous prime is 6225940867. The next prime is 6225940891. The reversal of 6225940872 is 2780495226.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5698136196 + 527804676 = 75486^2 + 22974^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=55794.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11381703 + ... + 11382249.

Almost surely, 26225940872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6225940872

6225940872 is an abundant number, since it is smaller than the sum of its proper divisors (11719011933).

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

6225940872 is a wasteful number, since it uses less digits than its factorization.

6225940872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6225940872 is about 78904.6314990445. The cubic root of 6225940872 is about 1839.6491210266.

The spelling of 6225940872 in words is "six billion, two hundred twenty-five million, nine hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 547 578 612 867 1094 1156 1224 1641 1734 2188 2312 2601 3282 3468 4376 4923 5202 6564 6936 9299 9846 10404 13128 18598 19692 20808 27897 37196 39384 55794 74392 83691 111588 158083 167382 223176 299209 316166 334764 474249 598418 632332 669528 897627 948498 1196836 1264664 1422747 1795254 1896996 2393672 2692881 2845494 3590508 3793992 5086553 5385762 5690988 7181016 10173106 10771524 11381976 15259659 20346212 21543048 30519318 40692424 45778977 61038636 86471401 91557954 122077272 172942802 183115908 259414203 345885604 366231816 518828406 691771208 778242609 1037656812 1556485218 2075313624 3112970436 6225940872