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22214120 = 235836691
BaseRepresentation
bin101010010111…
…1010111101000
31112210121001012
41110233113220
521141322440
62112043052
7356550125
oct124572750
945717035
1022214120
11115a2885
127533488
1347aa166
142d4374c
151e3be65
hex152f5e8

22214120 has 32 divisors (see below), whose sum is σ = 50591520. Its totient is φ = 8777280.

The previous prime is 22214117. The next prime is 22214131. The reversal of 22214120 is 2141222.

It is a junction number, because it is equal to n+sod(n) for n = 22214095 and 22214104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (1580985).

Almost surely, 222214120 is an apocalyptic number.

22214120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25295760).

22214120 is an abundant number, since it is smaller than the sum of its proper divisors (28377400).

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

22214120 is a wasteful number, since it uses less digits than its factorization.

22214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 22214120 is about 4713.1857591230. The cubic root of 22214120 is about 281.1100492194.

Adding to 22214120 its reverse (2141222), we get a palindrome (24355342).

It can be divided in two parts, 2 and 2214120, that added together give a palindrome (2214122).

The spelling of 22214120 in words is "twenty-two million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 6691 13382 26764 33455 53528 66910 133820 267640 555353 1110706 2221412 2776765 4442824 5553530 11107060 22214120