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22441896 = 2332535881
BaseRepresentation
bin101010110011…
…0111110101000
31120020011111100
41111212332220
521221120041
62121001400
7361516161
oct125467650
946204440
1022441896
1111738a24
127623260
134859a39
142da2768
151e846b6
hex1566fa8

22441896 has 48 divisors (see below), whose sum is σ = 61937460. Its totient is φ = 7338240.

The previous prime is 22441877. The next prime is 22441931. The reversal of 22441896 is 69814422.

It can be written as a sum of positive squares in 2 ways, for example, as 20520900 + 1920996 = 4530^2 + 1386^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22441896.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876 + ... + 6756.

Almost surely, 222441896 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 22441896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30968730).

22441896 is an abundant number, since it is smaller than the sum of its proper divisors (39495564).

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

22441896 is a wasteful number, since it uses less digits than its factorization.

22441896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5939 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 22441896 is about 4737.2878316606. The cubic root of 22441896 is about 282.0675860339.

The spelling of 22441896 in words is "twenty-two million, four hundred forty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 5881 11762 17643 23524 35286 47048 52929 70572 105858 141144 211716 311693 423432 623386 935079 1246772 1870158 2493544 2805237 3740316 5610474 7480632 11220948 22441896