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2244024420 = 22351110931193
BaseRepresentation
bin1000010111000001…
…0001100001100100
312210101112020210120
42011300101201210
514043432240140
61010401121540
7106415615151
oct20560214144
95711466716
102244024420
11a51769840
125276292b0
13299ba6c01
1417405b228
15d20161d0
hex85c11864

2244024420 has 96 divisors (see below), whose sum is σ = 6917581440. Its totient is φ = 538997760.

The previous prime is 2244024407. The next prime is 2244024421. The reversal of 2244024420 is 244204422.

It is not an unprimeable number, because it can be changed into a prime (2244024421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56344 + ... + 87536.

It is an arithmetic number, because the mean of its divisors is an integer number (72058140).

Almost surely, 22244024420 is an apocalyptic number.

2244024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458790720).

2244024420 is an abundant number, since it is smaller than the sum of its proper divisors (4673557020).

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

2244024420 is a wasteful number, since it uses less digits than its factorization.

2244024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31325 (or 31323 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2244024420 is about 47371.1348819088. The cubic root of 2244024420 is about 1309.2096353196.

Adding to 2244024420 its reverse (244204422), we get a palindrome (2488228842).

It can be divided in two parts, 224402 and 4420, that added together give a palindrome (228822).

The spelling of 2244024420 in words is "two billion, two hundred forty-four million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 2180 2398 3270 3597 4796 5995 6540 7194 11990 14388 17985 23980 31193 35970 62386 71940 93579 124772 155965 187158 311930 343123 374316 467895 623860 686246 935790 1029369 1372492 1715615 1871580 2058738 3400037 3431230 4117476 5146845 6800074 6862460 10200111 10293690 13600148 17000185 20400222 20587380 34000370 37400407 40800444 51000555 68000740 74800814 102001110 112201221 149601628 187002035 204002220 224402442 374004070 448804884 561006105 748008140 1122012210 2244024420