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455200164 = 223224735113
BaseRepresentation
bin11011001000011…
…100110110100100
31011201112120020100
4123020130312210
51413012401124
6113100304100
714165065116
oct3310346644
91151476210
10455200164
11213a48691
12108542030
13733ca913
14446533b6
1529e691c9
hex1b21cda4

455200164 has 36 divisors (see below), whose sum is σ = 1151335276. Its totient is φ = 151642368.

The previous prime is 455200129. The next prime is 455200169. The reversal of 455200164 is 461002554.

455200164 is a `hidden beast` number, since 455 + 200 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132710400 + 322489764 = 11520^2 + 17958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (455200169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86472 + ... + 91584.

Almost surely, 2455200164 is an apocalyptic number.

It is an amenable number.

455200164 is an abundant number, since it is smaller than the sum of its proper divisors (696135112).

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

455200164 is a wasteful number, since it uses less digits than its factorization.

455200164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 455200164 is about 21335.4204083257. The cubic root of 455200164 is about 769.2499380628.

The spelling of 455200164 in words is "four hundred fifty-five million, two hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2473 4946 5113 7419 9892 10226 14838 15339 20452 22257 29676 30678 44514 46017 61356 89028 92034 184068 12644449 25288898 37933347 50577796 75866694 113800041 151733388 227600082 455200164