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20226168 = 23324347139
BaseRepresentation
bin100110100101…
…0000001111000
31102001121002100
41031022001320
520134214133
62001303400
7333630264
oct115120170
942047070
1020226168
1110465246
126934b60
134262361
1429870a4
151b97e13
hex134a078

20226168 has 96 divisors (see below), whose sum is σ = 57657600. Its totient is φ = 6398784.

The previous prime is 20226163. The next prime is 20226179. The reversal of 20226168 is 86162202.

20226168 is a `hidden beast` number, since 20 + 22 + 616 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20226163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145443 + ... + 145581.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 220226168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20226168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828800).

20226168 is an abundant number, since it is smaller than the sum of its proper divisors (37431432).

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

20226168 is a wasteful number, since it uses less digits than its factorization.

20226168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20226168 is about 4497.3512204408. The cubic root of 20226168 is about 272.4611194984.

The spelling of 20226168 in words is "twenty million, two hundred twenty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 47 72 86 94 129 139 141 172 188 258 278 282 344 376 387 417 423 516 556 564 774 834 846 1032 1112 1128 1251 1548 1668 1692 2021 2502 3096 3336 3384 4042 5004 5977 6063 6533 8084 10008 11954 12126 13066 16168 17931 18189 19599 23908 24252 26132 35862 36378 39198 47816 48504 52264 53793 58797 71724 72756 78396 107586 117594 143448 145512 156792 215172 235188 280919 430344 470376 561838 842757 1123676 1685514 2247352 2528271 3371028 5056542 6742056 10113084 20226168