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2253733690 = 2513173173217
BaseRepresentation
bin1000011001010101…
…0011111100111010
312211001210112102011
42012111103330322
514103423434230
61011345200134
7106564264105
oct20625237472
95731715364
102253733690
11a571a052a
1252a93004a
1329bbc6340
1417546773c
15d2cd2e2a
hex86553f3a

2253733690 has 64 divisors (see below), whose sum is σ = 4641797664. Its totient is φ = 780484608.

The previous prime is 2253733661. The next prime is 2253733693. The reversal of 2253733690 is 963373522.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 121418361 + 2132315329 = 11019^2 + 46177^2 .

It is a super-2 number, since 2×22537336902 = 10158631090882032200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2253733693) 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 31 ways as a sum of consecutive naturals, for example, 698962 + ... + 702178.

Almost surely, 22253733690 is an apocalyptic number.

2253733690 is an abundant number, since it is smaller than the sum of its proper divisors (2388063974).

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

2253733690 is a wasteful number, since it uses less digits than its factorization.

2253733690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571.

The product of its (nonzero) digits is 204120, while the sum is 40.

The square root of 2253733690 is about 47473.5051370762. The cubic root of 2253733690 is about 1311.0951140254.

The spelling of 2253733690 in words is "two billion, two hundred fifty-three million, seven hundred thirty-three thousand, six hundred ninety".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 317 442 634 1105 1585 2210 3170 3217 4121 5389 6434 8242 10778 16085 20605 26945 32170 41210 41821 53890 54689 70057 83642 109378 140114 209105 273445 350285 418210 546890 700570 710957 1019789 1421914 2039578 3554785 5098945 7109570 10197890 13257257 17336413 26514514 34672826 66286285 86682065 132572570 173364130 225373369 450746738 1126866845 2253733690