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22412320 = 255720011
BaseRepresentation
bin101010101111…
…1110000100000
31120011122220221
41111133300200
521214143240
62120212424
7361334020
oct125376040
946148827
1022412320
1111718787
12760a114
134849438
142d95a80
151e7aa4a
hex155fc20

22412320 has 48 divisors (see below), whose sum is σ = 60516288. Its totient is φ = 7683840.

The previous prime is 22412317. The next prime is 22412329. The reversal of 22412320 is 2321422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22412294 and 22412303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8886 + ... + 11125.

It is an arithmetic number, because the mean of its divisors is an integer number (1260756).

Almost surely, 222412320 is an apocalyptic number.

22412320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22412320 is an abundant number, since it is smaller than the sum of its proper divisors (38103968).

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

22412320 is a wasteful number, since it uses less digits than its factorization.

22412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20033 (or 20025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22412320 is about 4734.1651851198. The cubic root of 22412320 is about 281.9436200015.

Adding to 22412320 its reverse (2321422), we get a palindrome (24733742).

It can be divided in two parts, 224 and 12320, that added together give a square (12544 = 1122).

The spelling of 22412320 in words is "twenty-two million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 20011 40022 80044 100055 140077 160088 200110 280154 320176 400220 560308 640352 700385 800440 1120616 1400770 1600880 2241232 2801540 3201760 4482464 5603080 11206160 22412320