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22445072 = 241329612
BaseRepresentation
bin101010110011…
…1110000010000
31120020022211222
41111213300100
521221220242
62121024212
7361531346
oct125476020
946208758
1022445072
1111740351
127625068
13485b310
142da3996
151e855d2
hex1567c10

22445072 has 60 divisors (see below), whose sum is σ = 49254660. Its totient is φ = 9838080.

The previous prime is 22445063. The next prime is 22445089. The reversal of 22445072 is 27054422.

It can be written as a sum of positive squares in 6 ways, for example, as 11262736 + 11182336 = 3356^2 + 3344^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367922 + ... + 367982.

It is an arithmetic number, because the mean of its divisors is an integer number (820911).

Almost surely, 222445072 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 22445072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24627330).

22445072 is an abundant number, since it is smaller than the sum of its proper divisors (26809588).

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

22445072 is a wasteful number, since it uses less digits than its factorization.

22445072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 22445072 is about 4737.6230327032. The cubic root of 22445072 is about 282.0808915703.

Adding to 22445072 its reverse (27054422), we get a palindrome (49499494).

It can be divided in two parts, 224450 and 72, that multiplied together give a square (16160400 = 40202).

The spelling of 22445072 in words is "twenty-two million, four hundred forty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 61 104 116 122 208 232 244 377 464 488 754 793 976 1508 1586 1769 3016 3172 3538 3721 6032 6344 7076 7442 12688 14152 14884 22997 28304 29768 45994 48373 59536 91988 96746 107909 183976 193492 215818 367952 386984 431636 773968 863272 1402817 1726544 2805634 5611268 11222536 22445072