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2422004040 = 233256727789
BaseRepresentation
bin1001000001011100…
…1101100101001000
320020210102112221100
42100113031211020
514430013112130
61040155541400
7114006460161
oct22027154510
96223375840
102422004040
111033181535
1257715a860
132c7a212b1
1418d94a768
15e2970c60
hex905cd948

2422004040 has 48 divisors (see below), whose sum is σ = 7871514300. Its totient is φ = 645867648.

The previous prime is 2422004023. The next prime is 2422004131. The reversal of 2422004040 is 404002242.

2422004040 is a `hidden beast` number, since 242 + 20 + 0 + 404 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2420049636 + 1954404 = 49194^2 + 1398^2 .

It is a super-2 number, since 2×24220040402 = 11732207139552643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3363535 + ... + 3364254.

Almost surely, 22422004040 is an apocalyptic number.

2422004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422004040 is an abundant number, since it is smaller than the sum of its proper divisors (5449510260).

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

2422004040 is a wasteful number, since it uses less digits than its factorization.

2422004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727806 (or 6727799 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2422004040 is about 49213.8602428218. The cubic root of 2422004040 is about 1342.9451890577.

Adding to 2422004040 its reverse (404002242), we get a palindrome (2826006282).

The spelling of 2422004040 in words is "two billion, four hundred twenty-two million, four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6727789 13455578 20183367 26911156 33638945 40366734 53822312 60550101 67277890 80733468 100916835 121100202 134555780 161466936 201833670 242200404 269111560 302750505 403667340 484400808 605501010 807334680 1211002020 2422004040