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2220402144 = 25323129189
BaseRepresentation
bin1000010001011000…
…1010010111100000
312201202002010010110
42010112022113200
514021410332034
61004154531320
7106011051432
oct20426122740
95652063113
102220402144
11a3a3a4aa4
1251b736b40
13295025b2c
14170c6c652
15cedebde9
hex8458a5e0

2220402144 has 24 divisors (see below), whose sum is σ = 5828555880. Its totient is φ = 740134016.

The previous prime is 2220402143. The next prime is 2220402161. The reversal of 2220402144 is 4412040222.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2220402144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220402143) 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, 11564499 + ... + 11564690.

It is an arithmetic number, because the mean of its divisors is an integer number (242856495).

Almost surely, 22220402144 is an apocalyptic number.

2220402144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220402144 is an abundant number, since it is smaller than the sum of its proper divisors (3608153736).

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

2220402144 is a wasteful number, since it uses less digits than its factorization.

2220402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23129202 (or 23129194 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2220402144 is about 47121.1432798484. The cubic root of 2220402144 is about 1304.5995148131.

Adding to 2220402144 its reverse (4412040222), we get a palindrome (6632442366).

The spelling of 2220402144 in words is "two billion, two hundred twenty million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23129189 46258378 69387567 92516756 138775134 185033512 277550268 370067024 555100536 740134048 1110201072 2220402144