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22114212 = 22317432521
BaseRepresentation
bin101010001011…
…0111110100100
31112121111222220
41110112332210
521130123322
62105552340
7355652631
oct124267644
945544886
1022114212
111153480a
1274a56b0
134773843
142d19188
151e1c55c
hex1516fa4

22114212 has 48 divisors (see below), whose sum is σ = 55927872. Its totient is φ = 6773760.

The previous prime is 22114207. The next prime is 22114217. The reversal of 22114212 is 21241122.

It is an interprime number because it is at equal distance from previous prime (22114207) and next prime (22114217).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22114191 and 22114200.

It is not an unprimeable number, because it can be changed into a prime (22114217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7512 + ... + 10032.

It is an arithmetic number, because the mean of its divisors is an integer number (1165164).

Almost surely, 222114212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22114212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27963936).

22114212 is an abundant number, since it is smaller than the sum of its proper divisors (33813660).

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

22114212 is a wasteful number, since it uses less digits than its factorization.

22114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2586 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 22114212 is about 4702.5750392737. The cubic root of 22114212 is about 280.6879850454.

Adding to 22114212 its reverse (21241122), we get a palindrome (43355334).

The spelling of 22114212 in words is "twenty-two million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2521 2924 4386 5042 7563 8772 10084 15126 30252 42857 85714 108403 128571 171428 216806 257142 325209 433612 514284 650418 1300836 1842851 3685702 5528553 7371404 11057106 22114212