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10227883689 = 341726612
BaseRepresentation
bin10011000011010000…
…10001111010101001
3222101210120022210000
421201220101322221
5131421314234224
64410523013213
7511312401612
oct114150217251
928353508700
1010227883689
114379412441
121b9536a209
13c6cc883aa
146d0522c09
153ecdc40c9
hex261a11ea9

10227883689 has 45 divisors (see below), whose sum is σ = 16254895701. Its totient is φ = 6407786880.

The previous prime is 10227883681. The next prime is 10227883733. The reversal of 10227883689 is 98638872201.

It is a happy number.

The square root of 10227883689 is 101133.

It is a perfect power (a square), and thus also a powerful number.

10227883689 is a `hidden beast` number, since 1 + 0 + 2 + 278 + 8 + 368 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3354147225 + 6873736464 = 57915^2 + 82908^2 .

It is not a de Polignac number, because 10227883689 - 23 = 10227883681 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10227883681) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15473019 + ... + 15473679.

Almost surely, 210227883689 is an apocalyptic number.

10227883689 is the 101133-rd square number.

10227883689 is the 50567-th centered octagonal number.

It is an amenable number.

10227883689 is a deficient number, since it is larger than the sum of its proper divisors (6027012012).

10227883689 is an frugal number, since it uses more digits than its factorization.

10227883689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10227883689 in words is "ten billion, two hundred twenty-seven million, eight hundred eighty-three thousand, six hundred eighty-nine".

Divisors: 1 3 9 17 27 51 81 153 289 459 661 867 1377 1983 2601 5949 7803 11237 17847 23409 33711 53541 101133 191029 303399 436921 573087 910197 1310763 1719261 3932289 5157783 7427657 11796867 15473349 22282971 35390601 66848913 126270169 200546739 378810507 601640217 1136431521 3409294563 10227883689