Search a number
-
+
22506282 = 2332318121
BaseRepresentation
bin101010111011…
…0101100101010
31120100102211000
41111312230222
521230200112
62122215430
7362204661
oct125665452
946312730
1022506282
1111782337
127654576
134880136
142dbbdd8
151e987dc
hex1576b2a

22506282 has 32 divisors (see below), whose sum is σ = 52191360. Its totient is φ = 7175520.

The previous prime is 22506277. The next prime is 22506287. The reversal of 22506282 is 28260522.

It is an interprime number because it is at equal distance from previous prime (22506277) and next prime (22506287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22506287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7819 + ... + 10302.

It is an arithmetic number, because the mean of its divisors is an integer number (1630980).

Almost surely, 222506282 is an apocalyptic number.

22506282 is an abundant number, since it is smaller than the sum of its proper divisors (29685078).

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

22506282 is a wasteful number, since it uses less digits than its factorization.

22506282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18155 (or 18149 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22506282 is about 4744.0786249808. The cubic root of 22506282 is about 282.3370799454.

The spelling of 22506282 in words is "twenty-two million, five hundred six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 18121 36242 54363 108726 163089 326178 416783 489267 833566 978534 1250349 2500698 3751047 7502094 11253141 22506282