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22190040 = 23325531163
BaseRepresentation
bin101010010100…
…1011111011000
31112202101000100
41110221133120
521140040130
62111335400
7356416665
oct124513730
945671010
1022190040
1111586784
127521560
13479c202
142d38a6c
151e34c60
hex15297d8

22190040 has 96 divisors (see below), whose sum is σ = 73541520. Its totient is φ = 5800704.

The previous prime is 22190039. The next prime is 22190053. The reversal of 22190040 is 4009122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22189995 and 22190022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18499 + ... + 19661.

Almost surely, 222190040 is an apocalyptic number.

22190040 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 22190040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36770760).

22190040 is an abundant number, since it is smaller than the sum of its proper divisors (51351480).

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

22190040 is a wasteful number, since it uses less digits than its factorization.

22190040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22190040 is about 4710.6305310436. The cubic root of 22190040 is about 281.0084385117.

Adding to 22190040 its reverse (4009122), we get a palindrome (26199162).

The spelling of 22190040 in words is "twenty-two million, one hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1163 1272 1590 1908 2120 2326 2385 3180 3489 3816 4652 4770 5815 6360 6978 9304 9540 10467 11630 13956 17445 19080 20934 23260 27912 34890 41868 46520 52335 61639 69780 83736 104670 123278 139560 184917 209340 246556 308195 369834 418680 493112 554751 616390 739668 924585 1109502 1232780 1479336 1849170 2219004 2465560 2773755 3698340 4438008 5547510 7396680 11095020 22190040