Search a number
-
+
22695827408 = 24193206807
BaseRepresentation
bin10101001000110001…
…101101011111010000
32011120201012111020022
4111020301231133100
5332440112434113
614232030203012
71432265231012
oct251061553720
964521174208
1022695827408
119697226061
124494953468
1321a9060097
1411543501b2
158cc779908
hex548c6d7d0

22695827408 has 40 divisors (see below), whose sum is σ = 46415987520. Its totient is φ = 10750603104.

The previous prime is 22695827383. The next prime is 22695827449. The reversal of 22695827408 is 80472859622.

It is a self number, because there is not a number n which added to its sum of digits gives 22695827408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6341 + ... + 213147.

It is an arithmetic number, because the mean of its divisors is an integer number (1160399688).

Almost surely, 222695827408 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 22695827408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207993760).

22695827408 is an abundant number, since it is smaller than the sum of its proper divisors (23720160112).

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

22695827408 is an equidigital number, since it uses as much as digits as its factorization.

22695827408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206872 (or 206828 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 22695827408 in words is "twenty-two billion, six hundred ninety-five million, eight hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 6859 13718 27436 54872 109744 206807 413614 827228 1654456 3308912 3929333 7858666 15717332 31434664 62869328 74657327 149314654 298629308 597258616 1194517232 1418489213 2836978426 5673956852 11347913704 22695827408