Search a number
-
+
22721616 = 2432295441
BaseRepresentation
bin101011010101…
…1010001010000
31120202101012100
41112223101100
521304042431
62131000400
7364062531
oct126532120
946671170
1022721616
111190a0a5
127739100
134927158
143036688
151edc4e6
hex15ab450

22721616 has 60 divisors (see below), whose sum is σ = 65793780. Its totient is φ = 7311360.

The previous prime is 22721603. The next prime is 22721617. The reversal of 22721616 is 61612722.

22721616 is a `hidden beast` number, since 2 + 27 + 21 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14288400 + 8433216 = 3780^2 + 2904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22721616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22721617) by changing a digit.

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, 1456 + ... + 6896.

It is an arithmetic number, because the mean of its divisors is an integer number (1096563).

Almost surely, 222721616 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 22721616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32896890).

22721616 is an abundant number, since it is smaller than the sum of its proper divisors (43072164).

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

22721616 is a wasteful number, since it uses less digits than its factorization.

22721616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5475 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 22721616 is about 4766.7196267454. The cubic root of 22721616 is about 283.2346649131.

The spelling of 22721616 in words is "twenty-two million, seven hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 5441 10882 16323 21764 32646 43528 48969 65292 87056 97938 130584 157789 195876 261168 315578 391752 473367 631156 783504 946734 1262312 1420101 1893468 2524624 2840202 3786936 5680404 7573872 11360808 22721616