Search a number
-
+
2292147 = 3211132137
BaseRepresentation
bin1000101111100110110011
311022110020100
420233212303
51041322042
6121043443
725324434
oct10574663
94273210
102292147
111326140
12926583
13623400
1443948b
1530424c
hex22f9b3

2292147 has 36 divisors (see below), whose sum is σ = 3939624. Its totient is φ = 1272960.

The previous prime is 2292133. The next prime is 2292163. The reversal of 2292147 is 7412922.

It is not a de Polignac number, because 2292147 - 26 = 2292083 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2292147.

It is not an unprimeable number, because it can be changed into a prime (2292167) 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 35 ways as a sum of consecutive naturals, for example, 16663 + ... + 16799.

It is an arithmetic number, because the mean of its divisors is an integer number (109434).

22292147 is an apocalyptic number.

2292147 is a deficient number, since it is larger than the sum of its proper divisors (1647477).

2292147 is a wasteful number, since it uses less digits than its factorization.

2292147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

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

The square root of 2292147 is about 1513.9838176150. The cubic root of 2292147 is about 131.8502088720.

The spelling of 2292147 in words is "two million, two hundred ninety-two thousand, one hundred forty-seven".

Divisors: 1 3 9 11 13 33 39 99 117 137 143 169 411 429 507 1233 1287 1507 1521 1781 1859 4521 5343 5577 13563 16029 16731 19591 23153 58773 69459 176319 208377 254683 764049 2292147