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240222020 = 225111710753
BaseRepresentation
bin11100101000101…
…11111101000100
3121202000112122212
432110113331010
5442444101040
635500442552
75644565513
oct1624277504
9552015585
10240222020
111136653a5
1268549458
133a9cac0c
1423c9267a
1516151d65
hexe517f44

240222020 has 24 divisors (see below), whose sum is σ = 504964824. Its totient is φ = 95993856.

The previous prime is 240221999. The next prime is 240222043. The reversal of 240222020 is 20222042.

It can be written as a sum of positive squares in 4 ways, for example, as 22600516 + 217621504 = 4754^2 + 14752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240221986 and 240222004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16964 + ... + 27716.

It is an arithmetic number, because the mean of its divisors is an integer number (21040201).

Almost surely, 2240222020 is an apocalyptic number.

240222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240222020 is an abundant number, since it is smaller than the sum of its proper divisors (264742804).

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

240222020 is a wasteful number, since it uses less digits than its factorization.

240222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 240222020 is about 15499.0973930742. The cubic root of 240222020 is about 621.6380720635.

Adding to 240222020 its reverse (20222042), we get a palindrome (260444062).

The spelling of 240222020 in words is "two hundred forty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1117 2234 4468 5585 10753 11170 21506 22340 43012 53765 107530 215060 12011101 24022202 48044404 60055505 120111010 240222020