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22164450 = 235271119101
BaseRepresentation
bin101010010001…
…1001111100010
31112201001220120
41110203033202
521133230300
62111021110
7356252250
oct124431742
945631816
1022164450
1111569530
12750a796
134790679
142d2d5d0
151e2c3a0
hex15233e2

22164450 has 192 divisors, whose sum is σ = 72852480. Its totient is φ = 4320000.

The previous prime is 22164449. The next prime is 22164463. The reversal of 22164450 is 5446122.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22164450.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219400 + ... + 219500.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 222164450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22164450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426240).

22164450 is an abundant number, since it is smaller than the sum of its proper divisors (50688030).

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

22164450 is a wasteful number, since it uses less digits than its factorization.

22164450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22164450 is about 4707.9135506082. The cubic root of 22164450 is about 280.9003754350.

It can be divided in two parts, 2216 and 4450, that added together give a palindrome (6666).

The spelling of 22164450 in words is "twenty-two million, one hundred sixty-four thousand, four hundred fifty".