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2244420040 = 235232731453
BaseRepresentation
bin1000010111000111…
…0010000111001000
312210102021100111011
42011301302013020
514044032420130
61010413413304
7106422153442
oct20561620710
95712240434
102244420040
11a51a09aa5
1252779a234
13299cb4cc5
14174121492
15d209352a
hex85c721c8

2244420040 has 96 divisors (see below), whose sum is σ = 5355052920. Its totient is φ = 846388224.

The previous prime is 2244420029. The next prime is 2244420041. The reversal of 2244420040 is 400244422.

It can be written as a sum of positive squares in 4 ways, for example, as 2214455364 + 29964676 = 47058^2 + 5474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2244419993 and 2244420020.

It is not an unprimeable number, because it can be changed into a prime (2244420041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1543954 + ... + 1545406.

Almost surely, 22244420040 is an apocalyptic number.

2244420040 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 2244420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677526460).

2244420040 is an abundant number, since it is smaller than the sum of its proper divisors (3110632880).

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

2244420040 is a wasteful number, since it uses less digits than its factorization.

2244420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2244420040 is about 47375.3104475316. The cubic root of 2244420040 is about 1309.2865683922.

Adding to 2244420040 its reverse (400244422), we get a palindrome (2644664462).

The spelling of 2244420040 in words is "two billion, two hundred forty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 73 92 115 146 184 230 292 365 460 529 584 730 920 1058 1453 1460 1679 2116 2645 2906 2920 3358 4232 5290 5812 6716 7265 8395 10580 11624 13432 14530 16790 21160 29060 33419 33580 38617 58120 66838 67160 77234 106069 133676 154468 167095 193085 212138 267352 308936 334190 386170 424276 530345 668380 768637 772340 848552 1060690 1336760 1537274 1544680 2121380 2439587 3074548 3843185 4242760 4879174 6149096 7686370 9758348 12197935 15372740 19516696 24395870 30745480 48791740 56110501 97583480 112221002 224442004 280552505 448884008 561105010 1122210020 2244420040