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22104240 = 2435312971
BaseRepresentation
bin101010001010…
…0100010110000
31112121000022120
41110110202300
521124313430
62105434240
7355611564
oct124244260
945530276
1022104240
1111528274
12749b980
13476c142
142d156a4
151e19610
hex15148b0

22104240 has 80 divisors (see below), whose sum is σ = 70757376. Its totient is φ = 5702400.

The previous prime is 22104227. The next prime is 22104253. The reversal of 22104240 is 4240122.

It is an interprime number because it is at equal distance from previous prime (22104227) and next prime (22104253).

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 (15).

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, 5955 + ... + 8925.

Almost surely, 222104240 is an apocalyptic number.

22104240 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 22104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35378688).

22104240 is an abundant number, since it is smaller than the sum of its proper divisors (48653136).

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

22104240 is a wasteful number, since it uses less digits than its factorization.

22104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22104240 is about 4701.5146495571. The cubic root of 22104240 is about 280.6457883288.

Adding to 22104240 its reverse (4240122), we get a palindrome (26344362).

The spelling of 22104240 in words is "twenty-two million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 2971 3720 5942 7440 8913 11884 14855 17826 23768 29710 35652 44565 47536 59420 71304 89130 92101 118840 142608 178260 184202 237680 276303 356520 368404 460505 552606 713040 736808 921010 1105212 1381515 1473616 1842020 2210424 2763030 3684040 4420848 5526060 7368080 11052120 22104240