Search a number
-
+
205462116 = 22331902427
BaseRepresentation
bin11000011111100…
…01101001100100
3112022121120001000
430033301221210
5410044241431
632215433300
75043253626
oct1417615144
9468546030
10205462116
11a5a83802
1258985830
133374a522
141d404c16
15130879e6
hexc3f1a64

205462116 has 24 divisors (see below), whose sum is σ = 532679840. Its totient is φ = 68487336.

The previous prime is 205462093. The next prime is 205462121. The reversal of 205462116 is 611264502.

205462116 is a `hidden beast` number, since 2 + 0 + 546 + 2 + 116 = 666.

205462116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2054621162 = 84429362222394912, which contains 22 as substring.

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 205462116.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951106 + ... + 951321.

Almost surely, 2205462116 is an apocalyptic number.

It is an amenable number.

205462116 is an abundant number, since it is smaller than the sum of its proper divisors (327217724).

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

205462116 is a wasteful number, since it uses less digits than its factorization.

205462116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902440 (or 1902432 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 205462116 is about 14333.9497696901. The cubic root of 205462116 is about 590.0795794219.

The spelling of 205462116 in words is "two hundred five million, four hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1902427 3804854 5707281 7609708 11414562 17121843 22829124 34243686 51365529 68487372 102731058 205462116