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2033105204 = 22132910971229
BaseRepresentation
bin111100100101110…
…1011100100110100
312020200122110000202
41321023223210310
513130433331304
6533424300032
7101245052264
oct17113534464
95220573022
102033105204
119536a9039
12488a71618
13265298840
141540357a4
15bd75181e
hex792eb934

2033105204 has 48 divisors (see below), whose sum is σ = 3970587600. Its totient is φ = 904436736.

The previous prime is 2033105201. The next prime is 2033105213. The reversal of 2033105204 is 4025013302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3422500 + 2029682704 = 1850^2 + 45052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033105201) 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 15 ways as a sum of consecutive naturals, for example, 1653662 + ... + 1654890.

It is an arithmetic number, because the mean of its divisors is an integer number (82720575).

Almost surely, 22033105204 is an apocalyptic number.

It is an amenable number.

2033105204 is a deficient number, since it is larger than the sum of its proper divisors (1937482396).

2033105204 is a wasteful number, since it uses less digits than its factorization.

2033105204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2033105204 is about 45089.9678864379. The cubic root of 2033105204 is about 1266.8346999918.

Adding to 2033105204 its reverse (4025013302), we get a palindrome (6058118506).

The spelling of 2033105204 in words is "two billion, thirty-three million, one hundred five thousand, two hundred four".

Divisors: 1 2 4 13 26 29 52 58 116 377 754 1097 1229 1508 2194 2458 4388 4916 14261 15977 28522 31813 31954 35641 57044 63626 63908 71282 127252 142564 413569 463333 827138 926666 1348213 1654276 1853332 2696426 5392852 17526769 35053538 39098177 70107076 78196354 156392708 508276301 1016552602 2033105204