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216371142 = 233131931597
BaseRepresentation
bin11001110010110…
…00111111000110
3120002010210102000
430321120333012
5420342334032
633245330130
75235060441
oct1471307706
9502123360
10216371142
11101154929
1260566946
1335a99a80
1420a44658
1513edee7c
hexce58fc6

216371142 has 64 divisors (see below), whose sum is σ = 520820160. Its totient is φ = 66189312.

The previous prime is 216371137. The next prime is 216371149. The reversal of 216371142 is 241173612.

216371142 is a `hidden beast` number, since 21 + 637 + 1 + 1 + 4 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216371149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134688 + ... + 136284.

It is an arithmetic number, because the mean of its divisors is an integer number (8137815).

Almost surely, 2216371142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216371142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260410080).

216371142 is an abundant number, since it is smaller than the sum of its proper divisors (304449018).

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

216371142 is a wasteful number, since it uses less digits than its factorization.

216371142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1808 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 216371142 is about 14709.5595447314. The cubic root of 216371142 is about 600.3434533621.

The spelling of 216371142 in words is "two hundred sixteen million, three hundred seventy-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 193 234 351 386 579 702 1158 1597 1737 2509 3194 3474 4791 5018 5211 7527 9582 10422 14373 15054 20761 22581 28746 41522 43119 45162 62283 67743 86238 124566 135486 186849 308221 373698 560547 616442 924663 1121094 1849326 2773989 4006873 5547978 8013746 8321967 12020619 16643934 24041238 36061857 72123714 108185571 216371142