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224040120 = 23351867001
BaseRepresentation
bin11010101101010…
…01010010111000
3120121120102021020
431112221102320
5424323240440
634121542440
75360211123
oct1526512270
9517512236
10224040120
11105512727
1263044a20
1337553625
1421a7d3ba
1514a073d0
hexd5a94b8

224040120 has 32 divisors (see below), whose sum is σ = 672120720. Its totient is φ = 59744000.

The previous prime is 224040097. The next prime is 224040121. The reversal of 224040120 is 21040422.

224040120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2240401202 = 100387950739228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224040120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224040121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933381 + ... + 933620.

Almost surely, 2224040120 is an apocalyptic number.

224040120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224040120 is an abundant number, since it is smaller than the sum of its proper divisors (448080600).

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

224040120 is a wasteful number, since it uses less digits than its factorization.

224040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867015 (or 1867011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 224040120 is about 14967.9698022143. The cubic root of 224040120 is about 607.3540505290.

Adding to 224040120 its reverse (21040422), we get a palindrome (245080542).

The spelling of 224040120 in words is "two hundred twenty-four million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1867001 3734002 5601003 7468004 9335005 11202006 14936008 18670010 22404012 28005015 37340020 44808024 56010030 74680040 112020060 224040120