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22242240 = 263257723
BaseRepresentation
bin101010011011…
…0001111000000
31112212000121200
41110312033000
521143222430
62112421200
7360025116
oct124661700
945760550
1022242240
1111611a19
127547800
1347b9bb7
142d4dab6
151e45460
hex15363c0

22242240 has 84 divisors (see below), whose sum is σ = 76513944. Its totient is φ = 5930496.

The previous prime is 22242211. The next prime is 22242251. The reversal of 22242240 is 4224222.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 982 + ... + 6741.

Almost surely, 222242240 is an apocalyptic number.

22242240 is a gapful number since it is divisible by the number (20) 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 22242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38256972).

22242240 is an abundant number, since it is smaller than the sum of its proper divisors (54271704).

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

22242240 is a wasteful number, since it uses less digits than its factorization.

22242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7733 counting only the distinct ones).

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

The square root of 22242240 is about 4716.1679359412. The cubic root of 22242240 is about 281.2286146703.

Adding to 22242240 its reverse (4224222), we get a palindrome (26466462).

The spelling of 22242240 in words is "twenty-two million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7723 15446 23169 30892 38615 46338 61784 69507 77230 92676 115845 123568 139014 154460 185352 231690 247136 278028 308920 347535 370704 463380 494272 556056 617840 695070 741408 926760 1112112 1235680 1390140 1482816 1853520 2224224 2471360 2780280 3707040 4448448 5560560 7414080 11121120 22242240