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22442320120 = 2351124679929
BaseRepresentation
bin10100111001101010…
…101010000011111000
32010221001011222121111
4110321222222003320
5331430213220440
614150532450104
71423066400503
oct247152520370
963831158544
1022442320120
119577117300
124423a79934
13216869017c
14112c80013a
158b53a14ea
hex539aaa0f8

22442320120 has 96 divisors (see below), whose sum is σ = 55627462800. Its totient is φ = 8142548480.

The previous prime is 22442320099. The next prime is 22442320129. The reversal of 22442320120 is 2102324422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22442320091 and 22442320100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442320129) 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 23 ways as a sum of consecutive naturals, for example, 2255316 + ... + 2265244.

Almost surely, 222442320120 is an apocalyptic number.

22442320120 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 22442320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27813731400).

22442320120 is an abundant number, since it is smaller than the sum of its proper divisors (33185142680).

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

22442320120 is a wasteful number, since it uses less digits than its factorization.

22442320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10429 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22442320120 its reverse (2102324422), we get a palindrome (24544644542).

The spelling of 22442320120 in words is "twenty-two billion, four hundred forty-two million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 467 484 605 934 968 1210 1868 2335 2420 3736 4670 4840 5137 9340 9929 10274 18680 19858 20548 25685 39716 41096 49645 51370 56507 79432 99290 102740 109219 113014 198580 205480 218438 226028 282535 397160 436876 452056 546095 565070 873752 1092190 1130140 1201409 2184380 2260280 2402818 4368760 4636843 4805636 6007045 9273686 9611272 12014090 18547372 23184215 24028180 37094744 46368430 48056360 51005273 92736860 102010546 185473720 204021092 255026365 408042184 510052730 561058003 1020105460 1122116006 2040210920 2244232012 2805290015 4488464024 5610580030 11221160060 22442320120