Search a number
-
+
22422120 = 2335726693
BaseRepresentation
bin101010110001…
…0001001101000
31120012011100220
41111202021220
521220001440
62120330040
7361404420
oct125421150
946164326
1022422120
1111725086
127613920
134850a36
142d99480
151e7d8d0
hex1562268

22422120 has 64 divisors (see below), whose sum is σ = 76878720. Its totient is φ = 5124864.

The previous prime is 22422097. The next prime is 22422131. The reversal of 22422120 is 2122422.

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 22422120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12507 + ... + 14186.

It is an arithmetic number, because the mean of its divisors is an integer number (1201230).

Almost surely, 222422120 is an apocalyptic number.

22422120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22422120 is an abundant number, since it is smaller than the sum of its proper divisors (54456600).

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

22422120 is a wasteful number, since it uses less digits than its factorization.

22422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26714 (or 26710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22422120 is about 4735.2001013685. The cubic root of 22422120 is about 281.9847081895.

Adding to 22422120 its reverse (2122422), we get a palindrome (24544542).

The spelling of 22422120 in words is "twenty-two million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 26693 53386 80079 106772 133465 160158 186851 213544 266930 320316 373702 400395 533860 560553 640632 747404 800790 934255 1067720 1121106 1494808 1601580 1868510 2242212 2802765 3203160 3737020 4484424 5605530 7474040 11211060 22422120