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22768452 = 2234710039
BaseRepresentation
bin101011011011…
…0101101000100
31120211202110000
41112312231010
521312042302
62132001300
7364346220
oct126665504
946752400
1022768452
1111941303
127760230
134942575
143049780
151eeb31c
hex15b6b44

22768452 has 60 divisors (see below), whose sum is σ = 68031040. Its totient is φ = 6504624.

The previous prime is 22768399. The next prime is 22768453. The reversal of 22768452 is 25486722.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22768453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2752 + ... + 7287.

Almost surely, 222768452 is an apocalyptic number.

It is an amenable number.

22768452 is an abundant number, since it is smaller than the sum of its proper divisors (45262588).

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

22768452 is a wasteful number, since it uses less digits than its factorization.

22768452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10051 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22768452 is about 4771.6299102089. The cubic root of 22768452 is about 283.4291416091.

It can be divided in two parts, 22768 and 452, that added together give a triangular number (23220 = T215).

The spelling of 22768452 in words is "twenty-two million, seven hundred sixty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 10039 20078 30117 40156 60234 70273 90351 120468 140546 180702 210819 271053 281092 361404 421638 542106 632457 813159 843276 1084212 1264914 1626318 1897371 2529828 3252636 3794742 5692113 7589484 11384226 22768452