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2242431040 = 26541672551
BaseRepresentation
bin1000010110101000…
…1100100001000000
312210021112022002111
42011222030201000
514043030243130
61010303025104
7106366230553
oct20552144100
95707468074
102242431040
11a508806a3
12526b9b194
13299769895
14173b6469a
15d1cee02a
hex85a8c840

2242431040 has 112 divisors (see below), whose sum is σ = 5553846144. Its totient is φ = 861696000.

The previous prime is 2242431029. The next prime is 2242431043. The reversal of 2242431040 is 401342422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2242431043) 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, 877765 + ... + 880315.

It is an arithmetic number, because the mean of its divisors is an integer number (49587912).

Almost surely, 22242431040 is an apocalyptic number.

2242431040 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 2242431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776923072).

2242431040 is an abundant number, since it is smaller than the sum of its proper divisors (3311415104).

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

2242431040 is a wasteful number, since it uses less digits than its factorization.

2242431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2242431040 is about 47354.3138478428. The cubic root of 2242431040 is about 1308.8996918142.

Adding to 2242431040 its reverse (401342422), we get a palindrome (2643773462).

The spelling of 2242431040 in words is "two billion, two hundred forty-two million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 67 80 82 134 160 164 205 268 320 328 335 410 536 656 670 820 1072 1312 1340 1640 2144 2551 2624 2680 2747 3280 4288 5102 5360 5494 6560 10204 10720 10988 12755 13120 13735 20408 21440 21976 25510 27470 40816 43952 51020 54940 81632 87904 102040 104591 109880 163264 170917 175808 204080 209182 219760 341834 408160 418364 439520 522955 683668 816320 836728 854585 879040 1045910 1367336 1673456 1709170 2091820 2734672 3346912 3418340 4183640 5469344 6693824 6836680 7007597 8367280 10938688 13673360 14015194 16734560 27346720 28030388 33469120 35037985 54693440 56060776 70075970 112121552 140151940 224243104 280303880 448486208 560607760 1121215520 2242431040