Search a number
-
+
216117700 = 22522161177
BaseRepresentation
bin11001110000110…
…11000111000100
3120001122220202021
430320123013010
5420311231300
633240052524
75232653521
oct1470330704
9501586667
10216117700
11100aa1477
1260464144
1335a0b5c6
14209ba148
1513e8ed1a
hexce1b1c4

216117700 has 18 divisors (see below), whose sum is σ = 468975626. Its totient is φ = 86447040.

The previous prime is 216117689. The next prime is 216117701. The reversal of 216117700 is 7711612.

It can be written as a sum of positive squares in 3 ways, for example, as 18096516 + 198021184 = 4254^2 + 14072^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (216117701) 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 5 ways as a sum of consecutive naturals, for example, 1080489 + ... + 1080688.

Almost surely, 2216117700 is an apocalyptic number.

216117700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216117700 is an abundant number, since it is smaller than the sum of its proper divisors (252857926).

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

216117700 is a wasteful number, since it uses less digits than its factorization.

216117700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161191 (or 2161184 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 216117700 is about 14700.9421466789. The cubic root of 216117700 is about 600.1089616925.

The spelling of 216117700 in words is "two hundred sixteen million, one hundred seventeen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2161177 4322354 8644708 10805885 21611770 43223540 54029425 108058850 216117700