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11222320 = 245151929
BaseRepresentation
bin101010110011…
…110100110000
3210010011010111
4222303310300
510333103240
61040311104
7164250064
oct52636460
923104114
1011222320
11637554a
123912494
13242c035
1416c1aa4
15eba1ea
hexab3d30

11222320 has 40 divisors (see below), whose sum is σ = 26292960. Its totient is φ = 4454400.

The previous prime is 11222317. The next prime is 11222339. The reversal of 11222320 is 2322211.

11222320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11222320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11616 + ... + 12544.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 211222320 is an apocalyptic number.

11222320 is a gapful number since it is divisible by the number (10) 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 11222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146480).

11222320 is an abundant number, since it is smaller than the sum of its proper divisors (15070640).

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

11222320 is a wasteful number, since it uses less digits than its factorization.

11222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11222320 is about 3349.9731342206. The cubic root of 11222320 is about 223.8863156120.

Adding to 11222320 its reverse (2322211), we get a palindrome (13544531).

The spelling of 11222320 in words is "eleven million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 929 1208 1510 1858 2416 3020 3716 4645 6040 7432 9290 12080 14864 18580 37160 74320 140279 280558 561116 701395 1122232 1402790 2244464 2805580 5611160 11222320