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2244332420 = 2251131329081
BaseRepresentation
bin1000010111000101…
…1100101110000100
312210102002220021222
42011301130232010
514044022114140
61010411455512
7106421340131
oct20561345604
95712086258
102244332420
11a5195a190
12527757598
13299c84165
141740db588
15d20775b5
hex85c5cb84

2244332420 has 48 divisors (see below), whose sum is σ = 5307434496. Its totient is φ = 789792000.

The previous prime is 2244332393. The next prime is 2244332423. The reversal of 2244332420 is 242334422.

It is a happy number.

It is a super-2 number, since 2×22443324202 = 10074056022926112800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2244332420.

It is not an unprimeable number, because it can be changed into a prime (2244332423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157721 + ... + 171360.

It is an arithmetic number, because the mean of its divisors is an integer number (110571552).

Almost surely, 22244332420 is an apocalyptic number.

2244332420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244332420 is an abundant number, since it is smaller than the sum of its proper divisors (3063102076).

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

2244332420 is a wasteful number, since it uses less digits than its factorization.

2244332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329132 (or 329130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2244332420 is about 47374.3856952256. The cubic root of 2244332420 is about 1309.2695304076.

Adding to 2244332420 its reverse (242334422), we get a palindrome (2486666842).

The spelling of 2244332420 in words is "two billion, two hundred forty-four million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 329081 658162 1316324 1645405 3290810 3619891 6581620 7239782 10201511 14479564 18099455 20403022 36198910 40806044 51007555 72397820 102015110 112216621 204030220 224433242 448866484 561083105 1122166210 2244332420