Search a number
-
+
22240440 = 2333520593
BaseRepresentation
bin101010011010…
…1110010111000
31112211221011000
41110311302320
521143143230
62112405000
7360016635
oct124656270
945757130
1022240440
1111610632
127546760
1347b9131
142d4d18c
151e44b60
hex1535cb8

22240440 has 64 divisors (see below), whose sum is σ = 74138400. Its totient is φ = 5930496.

The previous prime is 22240433. The next prime is 22240457. The reversal of 22240440 is 4404222.

22240440 is a `hidden beast` number, since 2 + 224 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 9217 + ... + 11376.

Almost surely, 222240440 is an apocalyptic number.

22240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22240440 is an abundant number, since it is smaller than the sum of its proper divisors (51897960).

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

22240440 is a wasteful number, since it uses less digits than its factorization.

22240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20613 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 22240440 is about 4715.9770991810. The cubic root of 22240440 is about 281.2210281268.

Adding to 22240440 its reverse (4404222), we get a palindrome (26644662).

The spelling of 22240440 in words is "twenty-two million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 20593 41186 61779 82372 102965 123558 164744 185337 205930 247116 308895 370674 411860 494232 556011 617790 741348 823720 926685 1112022 1235580 1482696 1853370 2224044 2471160 2780055 3706740 4448088 5560110 7413480 11120220 22240440