Search a number
-
+
22681828 = 221332989
BaseRepresentation
bin101011010000…
…1100011100100
31120200100121201
41112201203210
521301304303
62130052244
7363535531
oct126414344
946610551
1022681828
1111892214
12771a084
134912000
143025d88
151ed081d
hex15a18e4

22681828 has 48 divisors (see below), whose sum is σ = 44982000. Its totient is φ = 9993984.

The previous prime is 22681807. The next prime is 22681829. The reversal of 22681828 is 82818622.

It can be written as a sum of positive squares in 8 ways, for example, as 18593344 + 4088484 = 4312^2 + 2022^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22681829) 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 15 ways as a sum of consecutive naturals, for example, 254808 + ... + 254896.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 222681828 is an apocalyptic number.

It is an amenable number.

22681828 is a deficient number, since it is larger than the sum of its proper divisors (22300172).

22681828 is a wasteful number, since it uses less digits than its factorization.

22681828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 22681828 is about 4762.5442780094. The cubic root of 22681828 is about 283.0692435041.

It can be divided in two parts, 2268 and 1828, that added together give a 12-th power (4096 = 212).

The spelling of 22681828 in words is "twenty-two million, six hundred eighty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 4 13 26 29 52 58 89 116 169 178 338 356 377 676 754 1157 1508 2197 2314 2581 4394 4628 4901 5162 8788 9802 10324 15041 19604 30082 33553 60164 63713 67106 127426 134212 195533 254852 391066 436189 782132 872378 1744756 5670457 11340914 22681828