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22135740 = 22351123049
BaseRepresentation
bin101010001110…
…0001110111100
31112122121112020
41110130032330
521131320430
62110240140
7356102454
oct124341674
945577466
1022135740
1111549a00
1274b6050
134780593
142d22d64
151e23b10
hex151c3bc

22135740 has 72 divisors (see below), whose sum is σ = 68149200. Its totient is φ = 5364480.

The previous prime is 22135739. The next prime is 22135747. The reversal of 22135740 is 4753122.

It is a self number, because there is not a number n which added to its sum of digits gives 22135740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22135747) 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 23 ways as a sum of consecutive naturals, for example, 5736 + ... + 8784.

Almost surely, 222135740 is an apocalyptic number.

22135740 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 22135740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074600).

22135740 is an abundant number, since it is smaller than the sum of its proper divisors (46013460).

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

22135740 is a wasteful number, since it uses less digits than its factorization.

22135740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 22135740 is about 4704.8634411638. The cubic root of 22135740 is about 280.7790379722.

Adding to 22135740 its reverse (4753122), we get a palindrome (26888862).

The spelling of 22135740 in words is "twenty-two million, one hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3049 3630 6098 7260 9147 12196 15245 18294 30490 33539 36588 45735 60980 67078 91470 100617 134156 167695 182940 201234 335390 368929 402468 503085 670780 737858 1006170 1106787 1475716 1844645 2012340 2213574 3689290 4427148 5533935 7378580 11067870 22135740