Search a number
-
+
20022768 = 243346349
BaseRepresentation
bin100110001100…
…0010111110000
31101200021002000
41030120113300
520111212033
61553054000
7332122263
oct114302760
941607060
1020022768
1110336447
126857300
1341c08bc
142932cda
151b57a13
hex13185f0

20022768 has 40 divisors (see below), whose sum is σ = 57474000. Its totient is φ = 6674112.

The previous prime is 20022733. The next prime is 20022791. The reversal of 20022768 is 86722002.

It is a super-2 number, since 2×200227682 = 801822476763648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22743 + ... + 23606.

It is an arithmetic number, because the mean of its divisors is an integer number (1436850).

Almost surely, 220022768 is an apocalyptic number.

It is an amenable number.

20022768 is an abundant number, since it is smaller than the sum of its proper divisors (37451232).

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

20022768 is a wasteful number, since it uses less digits than its factorization.

20022768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46366 (or 46354 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20022768 is about 4474.6807707366. The cubic root of 20022768 is about 271.5447256984.

The spelling of 20022768 in words is "twenty million, twenty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 46349 92698 139047 185396 278094 370792 417141 556188 741584 834282 1112376 1251423 1668564 2224752 2502846 3337128 5005692 6674256 10011384 20022768