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2331911920 = 245139832281
BaseRepresentation
bin1000101011111110…
…0010011011110000
320000111220101210011
42022333202123300
514233432140140
61023220544304
7111533632012
oct21277423360
96014811704
102331911920
11a97337a38
12550b52094
132b2169450
141819b81b2
15d9ac6cea
hex8afe26f0

2331911920 has 80 divisors (see below), whose sum is σ = 5847250752. Its totient is φ = 859760640.

The previous prime is 2331911893. The next prime is 2331911951. The reversal of 2331911920 is 291191332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021180 + ... + 1023460.

Almost surely, 22331911920 is an apocalyptic number.

2331911920 is a gapful number since it is divisible by the number (20) 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 2331911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923625376).

2331911920 is an abundant number, since it is smaller than the sum of its proper divisors (3515338832).

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

2331911920 is a wasteful number, since it uses less digits than its factorization.

2331911920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 2331911920 is about 48289.8738867684. The cubic root of 2331911920 is about 1326.0830200685.

The spelling of 2331911920 in words is "two billion, three hundred thirty-one million, nine hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 983 1040 1966 2281 3932 4562 4915 7864 9124 9830 11405 12779 15728 18248 19660 22810 25558 29653 36496 39320 45620 51116 59306 63895 78640 91240 102232 118612 127790 148265 182480 204464 237224 255580 296530 474448 511160 593060 1022320 1186120 2242223 2372240 4484446 8968892 11211115 17937784 22422230 29148899 35875568 44844460 58297798 89688920 116595596 145744495 179377840 233191192 291488990 466382384 582977980 1165955960 2331911920