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3131223220 = 22523591131021
BaseRepresentation
bin1011101010100010…
…1010110010110100
322002012221121202101
42322220222302310
522403043120340
61234412551444
7140410646446
oct27250526264
98065847671
103131223220
111367548394
12734782584
133ab93aa08
14219c04496
15134d64c9a
hexbaa2acb4

3131223220 has 96 divisors (see below), whose sum is σ = 7046403840. Its totient is φ = 1166161920.

The previous prime is 3131223211. The next prime is 3131223239. The reversal of 3131223220 is 223221313.

3131223220 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3066310 + ... + 3067330.

It is an arithmetic number, because the mean of its divisors is an integer number (73400040).

Almost surely, 23131223220 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 3131223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523201920).

3131223220 is an abundant number, since it is smaller than the sum of its proper divisors (3915180620).

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

3131223220 is a wasteful number, since it uses less digits than its factorization.

3131223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3131223220 is about 55957.3339250540. Note that the first 3 decimals coincide. The cubic root of 3131223220 is about 1462.9787218953.

Adding to 3131223220 its reverse (223221313), we get a palindrome (3354444533).

The spelling of 3131223220 in words is "three billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 113 115 118 226 230 236 295 452 460 565 590 1021 1130 1180 1357 2042 2260 2599 2714 4084 5105 5198 5428 6667 6785 10210 10396 12995 13334 13570 20420 23483 25990 26668 27140 33335 46966 51980 60239 66670 93932 115373 117415 120478 133340 153341 230746 234830 240956 301195 306682 461492 469660 576865 602390 613364 766705 1153730 1204780 1385497 1533410 2307460 2653579 2770994 3066820 5307158 5541988 6807007 6927485 10614316 13267895 13614014 13854970 26535790 27228028 27709940 34035035 53071580 68070070 136140140 156561161 313122322 626244644 782805805 1565611610 3131223220