[go: up one dir, main page]

Search a number
-
+
22727068 = 22713292153
BaseRepresentation
bin101011010110…
…0100110011100
31120202122200021
41112230212130
521304231233
62131041524
7364114450
oct126544634
946678607
1022727068
1111913201
1277402a4
134929790
143038660
151edde2d
hex15ac99c

22727068 has 48 divisors (see below), whose sum is σ = 50662080. Its totient is φ = 8676864.

The previous prime is 22727063. The next prime is 22727069. The reversal of 22727068 is 86072722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22727063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9480 + ... + 11632.

It is an arithmetic number, because the mean of its divisors is an integer number (1055460).

Almost surely, 222727068 is an apocalyptic number.

22727068 is a gapful number since it is divisible by the number (28) 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 22727068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331040).

22727068 is an abundant number, since it is smaller than the sum of its proper divisors (27935012).

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

22727068 is a wasteful number, since it uses less digits than its factorization.

22727068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 22727068 is about 4767.2914742021. The cubic root of 22727068 is about 283.2573169389.

The spelling of 22727068 in words is "twenty-two million, seven hundred twenty-seven thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 2153 2639 4306 5278 8612 10556 15071 27989 30142 55978 60284 62437 111956 124874 195923 249748 391846 437059 783692 811681 874118 1623362 1748236 3246724 5681767 11363534 22727068