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2412220340 = 225120611017
BaseRepresentation
bin1000111111000111…
…1000111110110100
320020010000111020002
42033301320332310
514420012022330
61035210130432
7113530351235
oct21761707664
96203014202
102412220340
1110286a9932
12573a20a18
132c59a701a
1418c52108c
15e1b8be45
hex8fc78fb4

2412220340 has 12 divisors (see below), whose sum is σ = 5065662756. Its totient is φ = 964888128.

The previous prime is 2412220337. The next prime is 2412220351. The reversal of 2412220340 is 430222142.

It can be written as a sum of positive squares in 2 ways, for example, as 859545124 + 1552675216 = 29318^2 + 39404^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 120611017 = 2412220340 / (2 + 4 + 1 + 2 + 2 + 2 + 0 + 3 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60305489 + ... + 60305528.

It is an arithmetic number, because the mean of its divisors is an integer number (422138563).

Almost surely, 22412220340 is an apocalyptic number.

2412220340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412220340 is an abundant number, since it is smaller than the sum of its proper divisors (2653442416).

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

2412220340 is a wasteful number, since it uses less digits than its factorization.

2412220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120611026 (or 120611024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2412220340 is about 49114.3598146204. The cubic root of 2412220340 is about 1341.1344703178.

Adding to 2412220340 its reverse (430222142), we get a palindrome (2842442482).

The spelling of 2412220340 in words is "two billion, four hundred twelve million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 120611017 241222034 482444068 603055085 1206110170 2412220340