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22059114 = 23721119359
BaseRepresentation
bin101010000100…
…1100001101010
31112111201102020
41110021201222
521121342424
62104445310
7355333200
oct124114152
945451366
1022059114
11114a7380
127479836
13475473c
142d03070
151e0b079
hex150986a

22059114 has 96 divisors (see below), whose sum is σ = 59097600. Its totient is φ = 5412960.

The previous prime is 22059113. The next prime is 22059131. The reversal of 22059114 is 41195022.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22059113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61267 + ... + 61625.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 222059114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22059114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548800).

22059114 is an abundant number, since it is smaller than the sum of its proper divisors (37038486).

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

22059114 is a wasteful number, since it uses less digits than its factorization.

22059114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 22059114 is about 4696.7131059923. The cubic root of 22059114 is about 280.4546779384.

The spelling of 22059114 in words is "twenty-two million, fifty-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 359 399 418 462 539 627 718 798 931 1077 1078 1254 1463 1617 1862 2154 2513 2793 2926 3234 3949 4389 5026 5586 6821 7539 7898 8778 10241 11847 13642 15078 17591 20463 20482 23694 27643 30723 35182 40926 47747 52773 55286 61446 75031 82929 95494 105546 143241 150062 165858 193501 225093 286482 334229 387002 450186 525217 580503 668458 1002687 1050434 1161006 1575651 2005374 3151302 3676519 7353038 11029557 22059114