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22331231120 = 24511109232811
BaseRepresentation
bin10100110011000010…
…111000101110010000
32010122022011002011002
4110303002320232100
5331213243343440
614131523441132
71420250222042
oct246302705620
963568132132
1022331231120
11951a441510
1243b28261a8
13214b666233
14111bb63a92
158aa75b115
hex5330b8b90

22331231120 has 80 divisors (see below), whose sum is σ = 57160002240. Its totient is φ = 8045913600.

The previous prime is 22331231089. The next prime is 22331231129. The reversal of 22331231120 is 2113213322.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22331231092 and 22331231101.

It is not an unprimeable number, because it can be changed into a prime (22331231129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20486 + ... + 212325.

It is an arithmetic number, because the mean of its divisors is an integer number (714500028).

Almost surely, 222331231120 is an apocalyptic number.

22331231120 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 22331231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28580001120).

22331231120 is an abundant number, since it is smaller than the sum of its proper divisors (34828771120).

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

22331231120 is a wasteful number, since it uses less digits than its factorization.

22331231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232944 (or 232938 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22331231120 its reverse (2113213322), we get a palindrome (24444444442).

The spelling of 22331231120 in words is "twenty-two billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 1090 1199 1744 2180 2398 4360 4796 5995 8720 9592 11990 19184 23980 47960 95920 232811 465622 931244 1164055 1862488 2328110 2560921 3724976 4656220 5121842 9312440 10243684 12804605 18624880 20487368 25376399 25609210 40974736 50752798 51218420 101505596 102436840 126881995 203011192 204873680 253763990 279140389 406022384 507527980 558280778 1015055960 1116561556 1395701945 2030111920 2233123112 2791403890 4466246224 5582807780 11165615560 22331231120