Search a number
-
+
10228692 = 223852391
BaseRepresentation
bin100111000001…
…001111010100
3201020200010110
4213001033110
510104304232
61003123020
7152641155
oct47011724
921220113
1010228692
115856a71
123513470
1321719a6
14150392c
15d70acc
hex9c13d4

10228692 has 12 divisors (see below), whose sum is σ = 23866976. Its totient is φ = 3409560.

The previous prime is 10228651. The next prime is 10228693. The reversal of 10228692 is 29682201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×102286922 = 209252280061728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 426184 + ... + 426207.

Almost surely, 210228692 is an apocalyptic number.

10228692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10228692 is an abundant number, since it is smaller than the sum of its proper divisors (13638284).

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

10228692 is a wasteful number, since it uses less digits than its factorization.

10228692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852398 (or 852396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10228692 is about 3198.2326369418. The cubic root of 10228692 is about 217.0734459422.

It can be divided in two parts, 102286 and 92, that added together give a triangular number (102378 = T452).

The spelling of 10228692 in words is "ten million, two hundred twenty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 852391 1704782 2557173 3409564 5114346 10228692