Search a number
-
+
22316940 = 22325123983
BaseRepresentation
bin101010100100…
…0011110001100
31112222211002100
41111020132030
521203120230
62114155100
7360455652
oct125103614
945884070
1022316940
1111663058
127582a90
134814bb9
142d6cdd2
151e5c660
hex154878c

22316940 has 36 divisors (see below), whose sum is σ = 67695264. Its totient is φ = 5951136.

The previous prime is 22316939. The next prime is 22316941. The reversal of 22316940 is 4961322.

It is an interprime number because it is at equal distance from previous prime (22316939) and next prime (22316941).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×223169403 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22316941) 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, 61812 + ... + 62171.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 222316940 is an apocalyptic number.

22316940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22316940 is an abundant number, since it is smaller than the sum of its proper divisors (45378324).

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

22316940 is a wasteful number, since it uses less digits than its factorization.

22316940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123998 (or 123993 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22316940 is about 4724.0808629828. The cubic root of 22316940 is about 281.5430959346.

The spelling of 22316940 in words is "twenty-two million, three hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 123983 247966 371949 495932 619915 743898 1115847 1239830 1487796 1859745 2231694 2479660 3719490 4463388 5579235 7438980 11158470 22316940