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22253400 = 23335213317
BaseRepresentation
bin101010011100…
…0111101011000
31112212120221000
41110320331120
521144102100
62112545000
7360102501
oct124707530
945776830
1022253400
111161a344
127552160
1347c1cc0
142d53ba8
151e48900
hex1538f58

22253400 has 192 divisors, whose sum is σ = 82807200. Its totient is φ = 5460480.

The previous prime is 22253377. The next prime is 22253401. The reversal of 22253400 is 435222.

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 (22253401) 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 47 ways as a sum of consecutive naturals, for example, 70042 + ... + 70358.

Almost surely, 222253400 is an apocalyptic number.

22253400 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 22253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41403600).

22253400 is an abundant number, since it is smaller than the sum of its proper divisors (60553800).

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

22253400 is a wasteful number, since it uses less digits than its factorization.

22253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22253400 is about 4717.3509515405. The cubic root of 22253400 is about 281.2756421065.

Adding to 22253400 its reverse (435222), we get a palindrome (22688622).

It can be divided in two parts, 2225 and 3400, that added together give a square (5625 = 752).

The spelling of 22253400 in words is "twenty-two million, two hundred fifty-three thousand, four hundred".