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2220412420 = 225111020621
BaseRepresentation
bin1000010001011000…
…1100111000000100
312201202002122020001
42010112030320010
514021411144140
61004155051044
7106011123412
oct20426147004
95652078201
102220412420
11a3a401796
1251b740a84
1329502a705
14170c722b2
15cedeee9a
hex8458ce04

2220412420 has 12 divisors (see below), whose sum is σ = 4662866124. Its totient is φ = 888164960.

The previous prime is 2220412391. The next prime is 2220412423. The reversal of 2220412420 is 242140222.

It can be written as a sum of positive squares in 2 ways, for example, as 1154912256 + 1065500164 = 33984^2 + 32642^2 .

It is not an unprimeable number, because it can be changed into a prime (2220412423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55510291 + ... + 55510330.

It is an arithmetic number, because the mean of its divisors is an integer number (388572177).

Almost surely, 22220412420 is an apocalyptic number.

2220412420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220412420 is an abundant number, since it is smaller than the sum of its proper divisors (2442453704).

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

2220412420 is a wasteful number, since it uses less digits than its factorization.

2220412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111020630 (or 111020628 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2220412420 is about 47121.2523178236. The cubic root of 2220412420 is about 1304.6015273680.

Adding to 2220412420 its reverse (242140222), we get a palindrome (2462552642).

The spelling of 2220412420 in words is "two billion, two hundred twenty million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 111020621 222041242 444082484 555103105 1110206210 2220412420