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3131924224 = 28111326581
BaseRepresentation
bin1011101010101101…
…0101111100000000
322002021021020100111
42322223111330000
522403233033344
61234440001104
7140416626262
oct27253257400
98067236314
103131924224
111367987030
12734a60194
133abb24b00
14219d47b32
15134e52834
hexbaad5f00

3131924224 has 108 divisors (see below), whose sum is σ = 7386030792. Its totient is φ = 1313894400.

The previous prime is 3131924207. The next prime is 3131924227. The reversal of 3131924224 is 4224291313.

3131924224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131924227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472614 + ... + 479194.

It is an arithmetic number, because the mean of its divisors is an integer number (68389174).

Almost surely, 23131924224 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 3131924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693015396).

3131924224 is an abundant number, since it is smaller than the sum of its proper divisors (4254106568).

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

3131924224 is a wasteful number, since it uses less digits than its factorization.

3131924224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6634 (or 6607 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 3131924224 is about 55963.5973111093. The cubic root of 3131924224 is about 1463.0878887545.

The spelling of 3131924224 in words is "three billion, one hundred thirty-one million, nine hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 256 286 338 352 416 572 676 704 832 1144 1352 1408 1664 1859 2288 2704 2816 3328 3718 4576 5408 6581 7436 9152 10816 13162 14872 18304 21632 26324 29744 36608 43264 52648 59488 72391 85553 105296 118976 144782 171106 210592 237952 289564 342212 421184 475904 579128 684424 842368 941083 1112189 1158256 1368848 1684736 1882166 2224378 2316512 2737696 3764332 4448756 4633024 5475392 7528664 8897512 9266048 10950784 12234079 15057328 17795024 18532096 21901568 24468158 30114656 35590048 48936316 60229312 71180096 97872632 120458624 142360192 195745264 240917248 284720384 391490528 782981056 1565962112 3131924224