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22290120 = 2333520639
BaseRepresentation
bin101010100000…
…1111011001000
31112221110022000
41111001323020
521201240440
62113431000
7360314526
oct125017310
945843260
1022290120
1111644996
12756b460
134805928
142d63316
151e54730
hex1541ec8

22290120 has 64 divisors (see below), whose sum is σ = 74304000. Its totient is φ = 5943744.

The previous prime is 22290119. The next prime is 22290137. The reversal of 22290120 is 2109222.

It is a super-2 number, since 2×222901202 = 993698899228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 22290093 and 22290102.

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 15 ways as a sum of consecutive naturals, for example, 9240 + ... + 11399.

It is an arithmetic number, because the mean of its divisors is an integer number (1161000).

Almost surely, 222290120 is an apocalyptic number.

22290120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22290120 is an abundant number, since it is smaller than the sum of its proper divisors (52013880).

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

22290120 is a wasteful number, since it uses less digits than its factorization.

22290120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20659 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22290120 is about 4721.2413621843. The cubic root of 22290120 is about 281.4302666560.

Adding to 22290120 its reverse (2109222), we get a palindrome (24399342).

The spelling of 22290120 in words is "twenty-two million, two hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 20639 41278 61917 82556 103195 123834 165112 185751 206390 247668 309585 371502 412780 495336 557253 619170 743004 825560 928755 1114506 1238340 1486008 1857510 2229012 2476680 2786265 3715020 4458024 5572530 7430040 11145060 22290120