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22625040 = 2435313041
BaseRepresentation
bin101011001001…
…1101100010000
31120120110201110
41112103230100
521243000130
62124533320
7363211134
oct126235420
946513643
1022625040
1111853589
1276b1240
1348c21c9
14300d3c4
151ebdab0
hex1593b10

22625040 has 80 divisors (see below), whose sum is σ = 72423936. Its totient is φ = 5836800.

The previous prime is 22625033. The next prime is 22625041. The reversal of 22625040 is 4052622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22624998 and 22625016.

It is not an unprimeable number, because it can be changed into a prime (22625041) 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, 5920 + ... + 8960.

Almost surely, 222625040 is an apocalyptic number.

22625040 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 22625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211968).

22625040 is an abundant number, since it is smaller than the sum of its proper divisors (49798896).

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

22625040 is a wasteful number, since it uses less digits than its factorization.

22625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 22625040 is about 4756.5786023149. The cubic root of 22625040 is about 282.8328079696.

Adding to 22625040 its reverse (4052622), we get a palindrome (26677662).

The spelling of 22625040 in words is "twenty-two million, six hundred twenty-five thousand, 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 3041 3720 6082 7440 9123 12164 15205 18246 24328 30410 36492 45615 48656 60820 72984 91230 94271 121640 145968 182460 188542 243280 282813 364920 377084 471355 565626 729840 754168 942710 1131252 1414065 1508336 1885420 2262504 2828130 3770840 4525008 5656260 7541680 11312520 22625040