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22430240 = 255722861
BaseRepresentation
bin101010110010…
…0001000100000
31120012120111122
41111210020200
521220231430
62120431412
7361440200
oct125441040
946176448
1022430240
1111730198
127618568
134854641
142d9c400
151e80ee5
hex1564220

22430240 has 72 divisors (see below), whose sum is σ = 61664652. Its totient is φ = 7687680.

The previous prime is 22430237. The next prime is 22430257. The reversal of 22430240 is 4203422.

It can be written as a sum of positive squares in 2 ways, for example, as 22391824 + 38416 = 4732^2 + 196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6410 + ... + 9270.

Almost surely, 222430240 is an apocalyptic number.

22430240 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 22430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30832326).

22430240 is an abundant number, since it is smaller than the sum of its proper divisors (39234412).

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

22430240 is a wasteful number, since it uses less digits than its factorization.

22430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 22430240 is about 4736.0574320842. The cubic root of 22430240 is about 282.0187436194.

Adding to 22430240 its reverse (4203422), we get a palindrome (26633662).

The spelling of 22430240 in words is "twenty-two million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 2861 3920 5722 7840 11444 14305 20027 22888 28610 40054 45776 57220 80108 91552 100135 114440 140189 160216 200270 228880 280378 320432 400540 457760 560756 640864 700945 801080 1121512 1401890 1602160 2243024 2803780 3204320 4486048 5607560 11215120 22430240