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22214142 = 2331014073
BaseRepresentation
bin101010010111…
…1010111111110
31112210121002000
41110233113332
521141323032
62112043130
7356550156
oct124572776
945717060
1022214142
11115a28a5
1275334a6
1347aa182
142d43766
151e3be7c
hex152f5fe

22214142 has 32 divisors (see below), whose sum is σ = 49865760. Its totient is φ = 7329600.

The previous prime is 22214131. The next prime is 22214147. The reversal of 22214142 is 24141222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3418 + ... + 7490.

It is an arithmetic number, because the mean of its divisors is an integer number (1558305).

Almost surely, 222214142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22214142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932880).

22214142 is an abundant number, since it is smaller than the sum of its proper divisors (27651618).

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

22214142 is a wasteful number, since it uses less digits than its factorization.

22214142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4179 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22214142 is about 4713.1880930003. The cubic root of 22214142 is about 281.1101420195.

Adding to 22214142 its reverse (24141222), we get a palindrome (46355364).

It can be divided in two parts, 2 and 2214142, that added together give a square (2214144 = 14882).

The spelling of 22214142 in words is "twenty-two million, two hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 4073 5454 8146 12219 24438 36657 73314 109971 219942 411373 822746 1234119 2468238 3702357 7404714 11107071 22214142