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22214144 = 29431009
BaseRepresentation
bin101010010111…
…1011000000000
31112210121002002
41110233120000
521141323034
62112043132
7356550161
oct124573000
945717062
1022214144
11115a28a7
1275334a8
1347aa184
142d43768
151e3be7e
hex152f600

22214144 has 40 divisors (see below), whose sum is σ = 45462120. Its totient is φ = 10838016.

The previous prime is 22214131. The next prime is 22214147. The reversal of 22214144 is 44141222.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21512 + ... + 22520.

It is an arithmetic number, because the mean of its divisors is an integer number (1136553).

Almost surely, 222214144 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 22214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22731060).

22214144 is an abundant number, since it is smaller than the sum of its proper divisors (23247976).

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

22214144 is an equidigital number, since it uses as much as digits as its factorization.

22214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1054 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 22214144 is about 4713.1883051709. The cubic root of 22214144 is about 281.1101504559.

Adding to 22214144 its reverse (44141222), we get a palindrome (66355366).

The spelling of 22214144 in words is "twenty-two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1009 1376 2018 2752 4036 5504 8072 11008 16144 22016 32288 43387 64576 86774 129152 173548 258304 347096 516608 694192 1388384 2776768 5553536 11107072 22214144