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22004040 = 2335296323
BaseRepresentation
bin101001111110…
…0000101001000
31112101220212110
41103330011020
521113112130
62103342320
7355013502
oct123740510
945356773
1022004040
1111469a63
1274519a0
134735656
142ccad72
151de9ab0
hex14fc148

22004040 has 64 divisors (see below), whose sum is σ = 68299200. Its totient is φ = 5664512.

The previous prime is 22004039. The next prime is 22004041. The reversal of 22004040 is 4040022.

It is an interprime number because it is at equal distance from previous prime (22004039) and next prime (22004041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

22004040 is a modest number, since divided by 4040 gives 2200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (22004041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319 + ... + 6641.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 222004040 is an apocalyptic number.

22004040 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 22004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149600).

22004040 is an abundant number, since it is smaller than the sum of its proper divisors (46295160).

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

22004040 is a wasteful number, since it uses less digits than its factorization.

22004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22004040 is about 4690.8464055008. The cubic root of 22004040 is about 280.2210838929.

Adding to 22004040 its reverse (4040022), we get a palindrome (26044062).

The spelling of 22004040 in words is "twenty-two million, four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 6323 12646 18969 25292 31615 37938 50584 63230 75876 94845 126460 151752 183367 189690 252920 366734 379380 550101 733468 758760 916835 1100202 1466936 1833670 2200404 2750505 3667340 4400808 5501010 7334680 11002020 22004040