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22026120 = 2335312191
BaseRepresentation
bin101010000000…
…1011110001000
31112110001011020
41110001132020
521114313440
62104032440
7355135044
oct124013610
945401136
1022026120
1111484606
127462720
13474270c
142cd5024
151e013d0
hex1501788

22026120 has 96 divisors (see below), whose sum is σ = 68636160. Its totient is φ = 5654400.

The previous prime is 22026113. The next prime is 22026133. The reversal of 22026120 is 2162022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22026120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115225 + ... + 115415.

It is an arithmetic number, because the mean of its divisors is an integer number (714960).

Almost surely, 222026120 is an apocalyptic number.

22026120 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 22026120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34318080).

22026120 is an abundant number, since it is smaller than the sum of its proper divisors (46610040).

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

22026120 is a wasteful number, since it uses less digits than its factorization.

22026120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22026120 is about 4693.1993352083. The cubic root of 22026120 is about 280.3147820371.

Adding to 22026120 its reverse (2162022), we get a palindrome (24188142).

The spelling of 22026120 in words is "twenty-two million, twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 191 248 310 372 382 465 573 620 744 764 930 955 961 1146 1240 1528 1860 1910 1922 2292 2865 2883 3720 3820 3844 4584 4805 5730 5766 5921 7640 7688 9610 11460 11532 11842 14415 17763 19220 22920 23064 23684 28830 29605 35526 38440 47368 57660 59210 71052 88815 115320 118420 142104 177630 183551 236840 355260 367102 550653 710520 734204 917755 1101306 1468408 1835510 2202612 2753265 3671020 4405224 5506530 7342040 11013060 22026120