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22831144720 = 2451549184241
BaseRepresentation
bin10101010000110101…
…111001111100010000
32011221010211022200121
4111100311321330100
5333224233112340
614253302400024
71435530346066
oct252065717420
964833738617
1022831144720
119756649a4a
124512130014
1321cb0babb7
1411682d6036
158d95a894a
hex550d79f10

22831144720 has 40 divisors (see below), whose sum is σ = 53116968600. Its totient is φ = 9126512640.

The previous prime is 22831144681. The next prime is 22831144729. The reversal of 22831144720 is 2744113822.

It can be written as a sum of positive squares in 4 ways, for example, as 1836293904 + 20994850816 = 42852^2 + 144896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×228311447202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22831144729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31800 + ... + 216040.

It is an arithmetic number, because the mean of its divisors is an integer number (1327924215).

Almost surely, 222831144720 is an apocalyptic number.

22831144720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22831144720 is an abundant number, since it is smaller than the sum of its proper divisors (30285823880).

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

22831144720 is a wasteful number, since it uses less digits than its factorization.

22831144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185803 (or 185797 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 22831144720 in words is "twenty-two billion, eight hundred thirty-one million, one hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1549 3098 6196 7745 12392 15490 24784 30980 61960 123920 184241 368482 736964 921205 1473928 1842410 2947856 3684820 7369640 14739280 285389309 570778618 1141557236 1426946545 2283114472 2853893090 4566228944 5707786180 11415572360 22831144720