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22199112 = 23321337641
BaseRepresentation
bin101010010101…
…1101101001000
31112202211110100
41110223231020
521140332422
62111445400
7356455305
oct124535510
945684410
1022199112
1111592581
127526860
1347a3390
142d3c0ac
151e377ac
hex152bb48

22199112 has 96 divisors (see below), whose sum is σ = 66601080. Its totient is φ = 6635520.

The previous prime is 22199077. The next prime is 22199119. The reversal of 22199112 is 21199122.

It can be written as a sum of positive squares in 4 ways, for example, as 21846276 + 352836 = 4674^2 + 594^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22199119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34312 + ... + 34952.

Almost surely, 222199112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22199112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33300540).

22199112 is an abundant number, since it is smaller than the sum of its proper divisors (44401968).

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

22199112 is a wasteful number, since it uses less digits than its factorization.

22199112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 22199112 is about 4711.5933610616. The cubic root of 22199112 is about 281.0467283814.

The spelling of 22199112 in words is "twenty-two million, one hundred ninety-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 641 666 888 936 962 1282 1332 1443 1923 1924 2564 2664 2886 3846 3848 4329 5128 5769 5772 7692 8333 8658 11538 11544 15384 16666 17316 23076 23717 24999 33332 34632 46152 47434 49998 66664 71151 74997 94868 99996 142302 149994 189736 199992 213453 284604 299988 308321 426906 569208 599976 616642 853812 924963 1233284 1707624 1849926 2466568 2774889 3699852 5549778 7399704 11099556 22199112