Search a number
-
+
22696146 = 23311192011
BaseRepresentation
bin101011010010…
…1000011010010
31120201002021000
41112211003102
521302234041
62130242430
7363625344
oct126450322
946632230
1022696146
11118a1a50
127726416
134918695
14302b294
151ed4bb6
hex15a50d2

22696146 has 64 divisors (see below), whose sum is σ = 57945600. Its totient is φ = 6512400.

The previous prime is 22696129. The next prime is 22696151. The reversal of 22696146 is 64169622.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22696146.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10281 + ... + 12291.

It is an arithmetic number, because the mean of its divisors is an integer number (905400).

Almost surely, 222696146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22696146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28972800).

22696146 is an abundant number, since it is smaller than the sum of its proper divisors (35249454).

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

22696146 is a wasteful number, since it uses less digits than its factorization.

22696146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2046 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 22696146 is about 4764.0472289850. The cubic root of 22696146 is about 283.1287938617.

The spelling of 22696146 in words is "twenty-two million, six hundred ninety-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 2011 3762 4022 5643 6033 11286 12066 18099 22121 36198 38209 44242 54297 66363 76418 108594 114627 132726 199089 229254 343881 398178 420299 597267 687762 840598 1031643 1194534 1260897 2063286 2521794 3782691 7565382 11348073 22696146