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22212202120 = 2354361321067
BaseRepresentation
bin10100101011111100…
…110100111010001000
32010100000011210001121
4110223330310322020
5330442310431440
614112032325024
71414303413523
oct245374647210
963300153047
1022212202120
119469233239
12437a9a3774
13212cabc284
14110a01bbba
158a009834a
hex52bf34e88

22212202120 has 64 divisors (see below), whose sum is σ = 51225577920. Its totient is φ = 8663687424.

The previous prime is 22212202097. The next prime is 22212202157. The reversal of 22212202120 is 2120221222.

It is a junction number, because it is equal to n+sod(n) for n = 22212202094 and 22212202103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043827 + ... + 1064893.

It is an arithmetic number, because the mean of its divisors is an integer number (800399655).

Almost surely, 222212202120 is an apocalyptic number.

22212202120 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 22212202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25612788960).

22212202120 is an abundant number, since it is smaller than the sum of its proper divisors (29013375800).

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

22212202120 is a wasteful number, since it uses less digits than its factorization.

22212202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21734 (or 21730 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22212202120 its reverse (2120221222), we get a palindrome (24332423342).

The spelling of 22212202120 in words is "twenty-two billion, two hundred twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 613 860 1226 1720 2452 3065 4904 6130 12260 21067 24520 26359 42134 52718 84268 105335 105436 131795 168536 210670 210872 263590 421340 527180 842680 905881 1054360 1811762 3623524 4529405 7247048 9058810 12914071 18117620 25828142 36235240 51656284 64570355 103312568 129140710 258281420 516562840 555305053 1110610106 2221220212 2776525265 4442440424 5553050530 11106101060 22212202120