Search a number
-
+
22064157 = 352931101
BaseRepresentation
bin101010000101…
…0110000011101
31112111222100000
41110022300131
521122023112
62104524513
7355353663
oct124126035
945458300
1022064157
1111500145
127480739
134756b1b
142d04c33
151e0c7dc
hex150ac1d

22064157 has 48 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 13608000.

The previous prime is 22064137. The next prime is 22064167. The reversal of 22064157 is 75146022.

It is not a de Polignac number, because 22064157 - 26 = 22064093 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22064157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22064137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 218407 + ... + 218507.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 222064157 is an apocalyptic number.

22064157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

22064157 is the 2349-th decagonal number.

It is an amenable number.

22064157 is a deficient number, since it is larger than the sum of its proper divisors (13578723).

22064157 is a wasteful number, since it uses less digits than its factorization.

22064157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22064157 is about 4697.2499401245. The cubic root of 22064157 is about 280.4760481707.

The spelling of 22064157 in words is "twenty-two million, sixty-four thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 29 31 81 87 93 101 243 261 279 303 783 837 899 909 2349 2511 2697 2727 2929 3131 7047 7533 8091 8181 8787 9393 24273 24543 26361 28179 72819 79083 84537 90799 218457 237249 253611 272397 711747 760833 817191 2451573 7354719 22064157