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2220405144 = 23392516881
BaseRepresentation
bin1000010001011000…
…1011000110011000
312201202002021020120
42010112023012120
514021410431034
61004154553240
7106011063246
oct20426130630
95652067216
102220405144
11a3a3a7281
1251b738820
132950272c9
14170c6d796
15cedecc49
hex8458b198

2220405144 has 16 divisors (see below), whose sum is σ = 5551012920. Its totient is φ = 740135040.

The previous prime is 2220405107. The next prime is 2220405149. The reversal of 2220405144 is 4415040222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 92516881 = 2220405144 / (2 + 2 + 2 + 0 + 4 + 0 + 5 + 1 + 4 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220405149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46258417 + ... + 46258464.

Almost surely, 22220405144 is an apocalyptic number.

2220405144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220405144 is an abundant number, since it is smaller than the sum of its proper divisors (3330607776).

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

2220405144 is a wasteful number, since it uses less digits than its factorization.

2220405144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92516890 (or 92516886 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2220405144 is about 47121.1751126816. The cubic root of 2220405144 is about 1304.6001023638.

Adding to 2220405144 its reverse (4415040222), we get a palindrome (6635445366).

The spelling of 2220405144 in words is "two billion, two hundred twenty million, four hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 92516881 185033762 277550643 370067524 555101286 740135048 1110202572 2220405144