Search a number
-
+
22882332 = 22311237537
BaseRepresentation
bin101011101001…
…0100000011100
31121001112122210
41113102200130
521324213312
62134240420
7365332224
oct127224034
947045583
1022882332
1111a09920
1277b6110
134982355
143079084
15201ee3c
hex15d281c

22882332 has 48 divisors (see below), whose sum is σ = 60786432. Its totient is φ = 6631680.

The previous prime is 22882331. The next prime is 22882333. The reversal of 22882332 is 23328822.

It is an interprime number because it is at equal distance from previous prime (22882331) and next prime (22882333).

It is a super-2 number, since 2×228823322 = 1047202235516448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22882332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22882331) 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, 733 + ... + 6804.

It is an arithmetic number, because the mean of its divisors is an integer number (1266384).

Almost surely, 222882332 is an apocalyptic number.

22882332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22882332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30393216).

22882332 is an abundant number, since it is smaller than the sum of its proper divisors (37904100).

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

22882332 is a wasteful number, since it uses less digits than its factorization.

22882332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7576 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 22882332 is about 4783.5480555755. The cubic root of 22882332 is about 283.9008944683.

The spelling of 22882332 in words is "twenty-two million, eight hundred eighty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 7537 15074 22611 30148 45222 82907 90444 165814 173351 248721 331628 346702 497442 520053 693404 994884 1040106 1906861 2080212 3813722 5720583 7627444 11441166 22882332