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22102120 = 235552553
BaseRepresentation
bin101010001010…
…0000001101000
31112120220102001
41110110001220
521124231440
62105420344
7355602445
oct124240150
945526361
1022102120
1111526717
12749a6b4
13476b1a1
142d149cc
151e18b9a
hex1514068

22102120 has 16 divisors (see below), whose sum is σ = 49729860. Its totient is φ = 8840832.

The previous prime is 22102117. The next prime is 22102121. The reversal of 22102120 is 2120122.

It can be written as a sum of positive squares in 2 ways, for example, as 21399876 + 702244 = 4626^2 + 838^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22102097 and 22102106.

It is not an unprimeable number, because it can be changed into a prime (22102121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276237 + ... + 276316.

Almost surely, 222102120 is an apocalyptic number.

22102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102120 is an abundant number, since it is smaller than the sum of its proper divisors (27627740).

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

22102120 is a wasteful number, since it uses less digits than its factorization.

22102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552564 (or 552560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22102120 is about 4701.2891848939. The cubic root of 22102120 is about 280.6368158708.

Adding to 22102120 its reverse (2120122), we get a palindrome (24222242).

It can be divided in two parts, 22102 and 120, that added together give a palindrome (22222).

The spelling of 22102120 in words is "twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 552553 1105106 2210212 2762765 4420424 5525530 11051060 22102120