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205155342 = 23471131601
BaseRepresentation
bin11000011101001…
…10110000001110
3112022000222020000
430032212300032
5410004432332
632205105130
75040535350
oct1416466016
9468028200
10205155342
11a5894277
12588581a6
13336709c2
141d3650d0
1513026b7c
hexc3a6c0e

205155342 has 80 divisors (see below), whose sum is σ = 530351712. Its totient is φ = 58060800.

The previous prime is 205155311. The next prime is 205155373. The reversal of 205155342 is 243551502.

It is a happy number.

205155342 is a `hidden beast` number, since 20 + 51 + 553 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (205155311) and next prime (205155373).

It is a super-2 number, since 2×2051553422 = 84177428702273928, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 127342 + ... + 128942.

Almost surely, 2205155342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205155342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265175856).

205155342 is an abundant number, since it is smaller than the sum of its proper divisors (325196370).

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

205155342 is a wasteful number, since it uses less digits than its factorization.

205155342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 205155342 is about 14323.2448139379. The cubic root of 205155342 is about 589.7857519514.

The spelling of 205155342 in words is "two hundred five million, one hundred fifty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 339 378 567 678 791 1017 1134 1582 1601 2034 2373 3051 3202 4746 4803 6102 7119 9153 9606 11207 14238 14409 18306 21357 22414 28818 33621 42714 43227 64071 67242 86454 100863 128142 129681 180913 201726 259362 302589 361826 542739 605178 907767 1085478 1266391 1628217 1815534 2532782 3256434 3799173 4884651 7598346 9769302 11397519 14653953 22795038 29307906 34192557 68385114 102577671 205155342