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18214157 = 1317731129
BaseRepresentation
bin100010101111…
…0110100001101
31021021101010102
41011132310031
514130323112
61450220445
7310550333
oct105366415
937241112
1018214157
11a310625
126124725
133a09610
1425c1b53
1518ebbc2
hex115ed0d

18214157 has 16 divisors (see below), whose sum is σ = 21072240. Its totient is φ = 15593472.

The previous prime is 18214111. The next prime is 18214171. The reversal of 18214157 is 75141281.

It can be written as a sum of positive squares in 8 ways, for example, as 1190281 + 17023876 = 1091^2 + 4126^2 .

It is a cyclic number.

It is not a de Polignac number, because 18214157 - 26 = 18214093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18214957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15569 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (1317015).

Almost surely, 218214157 is an apocalyptic number.

18214157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

18214157 is a deficient number, since it is larger than the sum of its proper divisors (2858083).

18214157 is a wasteful number, since it uses less digits than its factorization.

18214157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232.

The product of its digits is 2240, while the sum is 29.

The square root of 18214157 is about 4267.8047049976. The cubic root of 18214157 is about 263.1093965806.

The spelling of 18214157 in words is "eighteen million, two hundred fourteen thousand, one hundred fifty-seven".

Divisors: 1 13 17 73 221 949 1129 1241 14677 16133 19193 82417 249509 1071421 1401089 18214157