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10228692769 = 19253232
BaseRepresentation
bin10011000011010110…
…10111011100100001
3222101212002102121221
421201223113130201
5131422021132034
64410552215041
7511322311501
oct114153273441
928355072557
1010228692769
1143799152a9
121b9569a481
13c701ac739
146d0693a01
153eced3bb4
hex261ad7721

10228692769 has 9 divisors (see below), whose sum is σ = 10797407793. Its totient is φ = 9688520052.

The previous prime is 10228692763. The next prime is 10228692781. The reversal of 10228692769 is 96729682201.

The square root of 10228692769 is 101137.

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

10228692769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10228692769 - 225 = 10195138337 is a prime.

It is a super-2 number, since 2×102286927692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10228692763) 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 8 ways as a sum of consecutive naturals, for example, 1918942 + ... + 1924264.

It is an arithmetic number, because the mean of its divisors is an integer number (1199711977).

Almost surely, 210228692769 is an apocalyptic number.

10228692769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10228692769 is the 101137-th square number.

10228692769 is the 50569-th centered octagonal number.

It is an amenable number.

10228692769 is a deficient number, since it is larger than the sum of its proper divisors (568715024).

10228692769 is an frugal number, since it uses more digits than its factorization.

10228692769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 10228692769 in words is "ten billion, two hundred twenty-eight million, six hundred ninety-two thousand, seven hundred sixty-nine".

Divisors: 1 19 361 5323 101137 1921603 28334329 538352251 10228692769