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2202986149 = 72132266029
BaseRepresentation
bin1000001101001110…
…1110011010100101
312200112022021212121
42003103232122211
514002431024044
61002333345541
7105410034100
oct20323563245
95615267777
102202986149
11a3058a111
125159382b1
13291538900
1416c817737
15cd60b984
hex834ee6a5

2202986149 has 18 divisors (see below), whose sum is σ = 2774958930. Its totient is φ = 1743015456.

The previous prime is 2202986143. The next prime is 2202986273. The reversal of 2202986149 is 9416892022.

It is a happy number.

2202986149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 129549924 + 2073436225 = 11382^2 + 45535^2 .

It is not a de Polignac number, because 2202986149 - 213 = 2202977957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202986143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124734 + ... + 141295.

It is an arithmetic number, because the mean of its divisors is an integer number (154164385).

Almost surely, 22202986149 is an apocalyptic number.

It is an amenable number.

2202986149 is a deficient number, since it is larger than the sum of its proper divisors (571972781).

2202986149 is a wasteful number, since it uses less digits than its factorization.

2202986149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266069 (or 266049 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 2202986149 is about 46935.9792589864. The cubic root of 2202986149 is about 1301.1796292722.

The spelling of 2202986149 in words is "two billion, two hundred two million, nine hundred eighty-six thousand, one hundred forty-nine".

Divisors: 1 7 13 49 91 169 637 1183 8281 266029 1862203 3458377 13035421 24208639 44958901 169460473 314712307 2202986149