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2400220042 = 211109100911
BaseRepresentation
bin1000111100010000…
…0111001110001010
320012021102210220121
42033010013032022
514403424020132
61034101013454
7113323351033
oct21704071612
96167383817
102400220042
111021952930
1256b9b428a
132c3364b5c
1418aab9a8a
15e0abb497
hex8f10738a

2400220042 has 8 divisors (see below), whose sum is σ = 3927632832. Its totient is φ = 1091009100.

The previous prime is 2400220033. The next prime is 2400220051.

2400220042 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2400220033) and next prime (2400220051).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×24002200422 = 11522112500036963528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400219998 and 2400220025.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54550434 + ... + 54550477.

It is an arithmetic number, because the mean of its divisors is an integer number (490954104).

Almost surely, 22400220042 is an apocalyptic number.

2400220042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2400220042 is a deficient number, since it is larger than the sum of its proper divisors (1527412790).

2400220042 is a wasteful number, since it uses less digits than its factorization.

2400220042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109100924.

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400220042 is about 48992.0405984482. The cubic root of 2400220042 is about 1338.9068165153.

It can be divided in two parts, 24002 and 20042, that added together give a palindrome (44044).

The spelling of 2400220042 in words is "two billion, four hundred million, two hundred twenty thousand, forty-two".

Divisors: 1 2 11 22 109100911 218201822 1200110021 2400220042