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2302666146 = 23211103112909
BaseRepresentation
bin1000100100111111…
…1110010110100010
312221110212120010100
42021033332112202
514203440304041
61020254043230
7111030224244
oct21117762642
95843776110
102302666146
11a81882180
125431a9516
132a9099861
1417bb64094
15d724b6b6
hex893fe5a2

2302666146 has 48 divisors (see below), whose sum is σ = 5495555520. Its totient is φ = 690996960.

The previous prime is 2302666139. The next prime is 2302666151. The reversal of 2302666146 is 6416662032.

It is a Smith number, since the sum of its digits (36) 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 2302666146.

It is an unprimeable number.

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, 36061 + ... + 76848.

It is an arithmetic number, because the mean of its divisors is an integer number (114490740).

Almost surely, 22302666146 is an apocalyptic number.

2302666146 is an abundant number, since it is smaller than the sum of its proper divisors (3192889374).

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

2302666146 is a wasteful number, since it uses less digits than its factorization.

2302666146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113031 (or 113028 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2302666146 is about 47986.1036759602. The cubic root of 2302666146 is about 1320.5159725285.

The spelling of 2302666146 in words is "two billion, three hundred two million, six hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1854 2266 3399 6798 10197 20394 112909 225818 338727 677454 1016181 1241999 2032362 2483998 3725997 7451994 11177991 11629627 22355982 23259254 34888881 69777762 104666643 127925897 209333286 255851794 383777691 767555382 1151333073 2302666146