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22122940 = 2257295449
BaseRepresentation
bin101010001100…
…1000110111100
31112121221222011
41110121012330
521130413230
62110101004
7356020240
oct124310674
945557864
1022122940
1111540324
1274aa764
1347777c8
142d1c420
151e1ee2a
hex15191bc

22122940 has 48 divisors (see below), whose sum is σ = 54936000. Its totient is φ = 7322112.

The previous prime is 22122937. The next prime is 22122979. The reversal of 22122940 is 4922122.

It is a congruent number.

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, 1336 + ... + 6784.

It is an arithmetic number, because the mean of its divisors is an integer number (1144500).

Almost surely, 222122940 is an apocalyptic number.

22122940 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 22122940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27468000).

22122940 is an abundant number, since it is smaller than the sum of its proper divisors (32813060).

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

22122940 is a wasteful number, since it uses less digits than its factorization.

22122940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22122940 is about 4703.5029499300. The cubic root of 22122940 is about 280.7249073423.

The spelling of 22122940 in words is "twenty-two million, one hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 5449 10898 21796 27245 38143 54490 76286 108980 152572 158021 190715 316042 381430 632084 762860 790105 1106147 1580210 2212294 3160420 4424588 5530735 11061470 22122940