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2240222420 = 2251011109021
BaseRepresentation
bin1000010110000111…
…0001010011010100
312210010101002102202
42011201301103110
514041444104140
61010143424032
7106341401462
oct20541612324
95703332382
102240222420
11a4a602297
125262b5018
132991754c7
1417374b832
15d1a14915
hex858714d4

2240222420 has 24 divisors (see below), whose sum is σ = 4751050248. Its totient is φ = 887216000.

The previous prime is 2240222419. The next prime is 2240222423. The reversal of 2240222420 is 242220422.

It can be written as a sum of positive squares in 4 ways, for example, as 368102596 + 1872119824 = 19186^2 + 43268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2240222392 and 2240222401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240222423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552491 + ... + 556530.

It is an arithmetic number, because the mean of its divisors is an integer number (197960427).

Almost surely, 22240222420 is an apocalyptic number.

2240222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240222420 is an abundant number, since it is smaller than the sum of its proper divisors (2510827828).

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

2240222420 is a wasteful number, since it uses less digits than its factorization.

2240222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109131 (or 1109129 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2240222420 is about 47330.9879465874. The cubic root of 2240222420 is about 1308.4698292236.

Adding to 2240222420 its reverse (242220422), we get a palindrome (2482442842).

The spelling of 2240222420 in words is "two billion, two hundred forty million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1109021 2218042 4436084 5545105 11090210 22180420 112011121 224022242 448044484 560055605 1120111210 2240222420