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2263131420 = 22351119180473
BaseRepresentation
bin1000011011100100…
…1010010100011100
312211201110222200020
42012321022110130
514113330201140
61012322432140
7110040204534
oct20671122434
95751428606
102263131420
11a6152a150
12531b02650
132a0b36a24
141767d24c4
15d3a3c6d0
hex86e4a51c

2263131420 has 96 divisors (see below), whose sum is σ = 7276711680. Its totient is φ = 519759360.

The previous prime is 2263131413. The next prime is 2263131421. The reversal of 2263131420 is 241313622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263131421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77697 + ... + 102776.

It is an arithmetic number, because the mean of its divisors is an integer number (75799080).

Almost surely, 22263131420 is an apocalyptic number.

2263131420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263131420 is an abundant number, since it is smaller than the sum of its proper divisors (5013580260).

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

2263131420 is a wasteful number, since it uses less digits than its factorization.

2263131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180515 (or 180513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2263131420 is about 47572.3808527595. The cubic root of 2263131420 is about 1312.9149432701.

The spelling of 2263131420 in words is "two billion, two hundred sixty-three million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 180473 360946 541419 721892 902365 1082838 1804730 1985203 2165676 2707095 3428987 3609460 3970406 5414190 5955609 6857974 7940812 9926015 10286961 10828380 11911218 13715948 17144935 19852030 20573922 23822436 29778045 34289870 37718857 39704060 41147844 51434805 59556090 68579740 75437714 102869610 113156571 119112180 150875428 188594285 205739220 226313142 377188570 452626284 565782855 754377140 1131565710 2263131420