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22425900 = 22352759181
BaseRepresentation
bin101010110001…
…1000100101100
31120012100112220
41111203010230
521220112100
62120355340
7361421430
oct125430454
946170486
1022425900
1111727a02
127615b50
134852683
142d9a9c0
151e7eaa0
hex156312c

22425900 has 144 divisors (see below), whose sum is σ = 75828480. Its totient is φ = 5011200.

The previous prime is 22425877. The next prime is 22425901. The reversal of 22425900 is 952422.

It is not an unprimeable number, because it can be changed into a prime (22425901) 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 47 ways as a sum of consecutive naturals, for example, 123810 + ... + 123990.

Almost surely, 222425900 is an apocalyptic number.

22425900 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 22425900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37914240).

22425900 is an abundant number, since it is smaller than the sum of its proper divisors (53402580).

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

22425900 is a wasteful number, since it uses less digits than its factorization.

22425900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 22425900 is about 4735.5992229073. The cubic root of 22425900 is about 282.0005532910. Note that the first 3 decimals are identical.

The spelling of 22425900 in words is "twenty-two million, four hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 59 60 70 75 84 100 105 118 140 150 175 177 181 210 236 295 300 350 354 362 413 420 525 543 590 700 708 724 826 885 905 1050 1086 1180 1239 1267 1475 1652 1770 1810 2065 2100 2172 2478 2534 2715 2950 3540 3620 3801 4130 4425 4525 4956 5068 5430 5900 6195 6335 7602 8260 8850 9050 10325 10679 10860 12390 12670 13575 15204 17700 18100 19005 20650 21358 24780 25340 27150 30975 31675 32037 38010 41300 42716 53395 54300 61950 63350 64074 74753 76020 95025 106790 123900 126700 128148 149506 160185 190050 213580 224259 266975 299012 320370 373765 380100 448518 533950 640740 747530 800925 897036 1067900 1121295 1495060 1601850 1868825 2242590 3203700 3737650 4485180 5606475 7475300 11212950 22425900