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3112254420 = 22351125118787
BaseRepresentation
bin1011100110000001…
…0011101111010100
322000220020220110020
42321200103233110
522333214120140
61232454225140
7140060504022
oct27140235724
98026226406
103112254420
1113578718a0
1272a3551b0
133a7a28a82
142174a7712
151333696d0
hexb9813bd4

3112254420 has 96 divisors (see below), whose sum is σ = 9544905216. Its totient is φ = 751440000.

The previous prime is 3112254419. The next prime is 3112254443. The reversal of 3112254420 is 244522113.

3112254420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31122544202 = 19372255149619072800, which contains 22 as substring.

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, 156267 + ... + 175053.

It is an arithmetic number, because the mean of its divisors is an integer number (99426096).

Almost surely, 23112254420 is an apocalyptic number.

3112254420 is a gapful number since it is divisible by the number (30) 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 3112254420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772452608).

3112254420 is an abundant number, since it is smaller than the sum of its proper divisors (6432650796).

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

3112254420 is a wasteful number, since it uses less digits than its factorization.

3112254420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19061 (or 19059 counting only the distinct ones).

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

The square root of 3112254420 is about 55787.5830270500. The cubic root of 3112254420 is about 1460.0185179361.

Adding to 3112254420 its reverse (244522113), we get a palindrome (3356776533).

The spelling of 3112254420 in words is "three billion, one hundred twelve million, two hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 251 330 502 660 753 1004 1255 1506 2510 2761 3012 3765 5020 5522 7530 8283 11044 13805 15060 16566 18787 27610 33132 37574 41415 55220 56361 75148 82830 93935 112722 165660 187870 206657 225444 281805 375740 413314 563610 619971 826628 1033285 1127220 1239942 2066570 2479884 3099855 4133140 4715537 6199710 9431074 12399420 14146611 18862148 23577685 28293222 47155370 51870907 56586444 70733055 94310740 103741814 141466110 155612721 207483628 259354535 282932220 311225442 518709070 622450884 778063605 1037418140 1556127210 3112254420