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22082340 = 2235732937
BaseRepresentation
bin101010000111…
…1001100100100
31112112220021110
41110033030210
521123113330
62105145020
7355461000
oct124171444
945486243
1022082340
1111512875
12748b170
134762197
142d0b700
151e12db0
hex150f324

22082340 has 192 divisors, whose sum is σ = 76608000. Its totient is φ = 4741632.

The previous prime is 22082309. The next prime is 22082381. The reversal of 22082340 is 4328022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 596802 + ... + 596838.

It is an arithmetic number, because the mean of its divisors is an integer number (399000).

Almost surely, 222082340 is an apocalyptic number.

22082340 is a gapful number since it is divisible by the number (20) 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 22082340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304000).

22082340 is an abundant number, since it is smaller than the sum of its proper divisors (54525660).

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

22082340 is a wasteful number, since it uses less digits than its factorization.

22082340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22082340 is about 4699.1850357269. The cubic root of 22082340 is about 280.5530734821.

It can be divided in two parts, 22082 and 340, that added together give a palindrome (22422).

The spelling of 22082340 in words is "twenty-two million, eighty-two thousand, three hundred forty".