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22222120 = 2352919157
BaseRepresentation
bin101010011000…
…1010100101000
31112211000000111
41110301110220
521142101440
62112144104
7356612344
oct124612450
945730014
1022222120
11115a8898
127538034
1347b09ab
142d46624
151e3e4ea
hex1531528

22222120 has 32 divisors (see below), whose sum is σ = 51726600. Its totient is φ = 8581888.

The previous prime is 22222097. The next prime is 22222129. The reversal of 22222120 is 2122222.

It can be written as a sum of positive squares in 4 ways, for example, as 11737476 + 10484644 = 3426^2 + 3238^2 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 22222120.

It is not an unprimeable number, because it can be changed into a prime (22222129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8419 + ... + 10738.

Almost surely, 222222120 is an apocalyptic number.

22222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22222120 is an abundant number, since it is smaller than the sum of its proper divisors (29504480).

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

22222120 is a wasteful number, since it uses less digits than its factorization.

22222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19197 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 22222120 is about 4714.0343655939. The cubic root of 22222120 is about 281.1437906788.

Adding to 22222120 its reverse (2122222), we get a palindrome (24344342).

The spelling of 22222120 in words is "twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 19157 38314 76628 95785 153256 191570 383140 555553 766280 1111106 2222212 2777765 4444424 5555530 11111060 22222120