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2493022149 = 322937258157
BaseRepresentation
bin1001010010011000…
…0111111111000101
320102202001122110200
42110212013333011
520101203202044
61051214041113
7115531224102
oct22446077705
96382048420
102493022149
11106a278492
12596aa9199
13309658347
14199155aa9
15e8ced369
hex94987fc5

2493022149 has 24 divisors (see below), whose sum is σ = 3825901560. Its totient is φ = 1561327488.

The previous prime is 2493022127. The next prime is 2493022157. The reversal of 2493022149 is 9412203942.

2493022149 is a `hidden beast` number, since 2 + 493 + 0 + 22 + 149 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 673402500 + 1819619649 = 25950^2 + 42657^2 .

It is not a de Polignac number, because 2493022149 - 25 = 2493022117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493022249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119422 + ... + 138735.

It is an arithmetic number, because the mean of its divisors is an integer number (159412565).

Almost surely, 22493022149 is an apocalyptic number.

2493022149 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2493022149 is a deficient number, since it is larger than the sum of its proper divisors (1332879411).

2493022149 is a wasteful number, since it uses less digits than its factorization.

2493022149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258229 (or 258226 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2493022149 is about 49930.1727315258. The cubic root of 2493022149 is about 1355.9449115506.

The spelling of 2493022149 in words is "two billion, four hundred ninety-three million, twenty-two thousand, one hundred forty-nine".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 258157 774471 2323413 7486553 9551809 22459659 28655427 67378977 85966281 277002461 831007383 2493022149