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22361157 = 3371319479
BaseRepresentation
bin101010101001…
…1010001000101
31120002001202000
41111103101011
521211024112
62115135513
7361031610
oct125232105
946061660
1022361157
11116932a5
1275a4599
13482c070
142d81177
151e6a7dc
hex1553445

22361157 has 64 divisors (see below), whose sum is σ = 43008000. Its totient is φ = 11150784.

The previous prime is 22361149. The next prime is 22361179. The reversal of 22361157 is 75116322.

It is a happy number.

It is not a de Polignac number, because 22361157 - 23 = 22361149 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 22361157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22361107) 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 63 ways as a sum of consecutive naturals, for example, 46444 + ... + 46922.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 222361157 is an apocalyptic number.

22361157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

22361157 is a deficient number, since it is larger than the sum of its proper divisors (20646843).

22361157 is a wasteful number, since it uses less digits than its factorization.

22361157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 22361157 is about 4728.7585051470. The cubic root of 22361157 is about 281.7289155899.

Adding to 22361157 its reverse (75116322), we get a palindrome (97477479).

The spelling of 22361157 in words is "twenty-two million, three hundred sixty-one thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 91 117 133 171 189 247 273 351 399 479 513 741 819 1197 1437 1729 2223 2457 3353 3591 4311 5187 6227 6669 9101 10059 12933 15561 18681 27303 30177 43589 46683 56043 63707 81909 90531 118313 130767 168129 191121 245727 354939 392301 573363 828191 1064817 1176903 1720089 2484573 3194451 7453719 22361157