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2242240312 = 231319259723
BaseRepresentation
bin1000010110100101…
…1101111100111000
312210021011121110111
42011221131330320
514043003142222
61010254554104
7106364504524
oct20551357470
95707147414
102242240312
11a50760374
12526b08934
13299700b20
14173b14d84
15d1cb2777
hex85a5df38

2242240312 has 48 divisors (see below), whose sum is σ = 4778517240. Its totient is φ = 980396352.

The previous prime is 2242240309. The next prime is 2242240387. The reversal of 2242240312 is 2130422422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7683 + ... + 67405.

Almost surely, 22242240312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389258620).

2242240312 is an abundant number, since it is smaller than the sum of its proper divisors (2536276928).

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

2242240312 is a wasteful number, since it uses less digits than its factorization.

2242240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59780 (or 59757 counting only the distinct ones).

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

The square root of 2242240312 is about 47352.2999652604. The cubic root of 2242240312 is about 1308.8625816580.

Adding to 2242240312 its reverse (2130422422), we get a palindrome (4372662734).

The spelling of 2242240312 in words is "two billion, two hundred forty-two million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4693 9386 18772 37544 59723 119446 238892 477784 776399 1134737 1552798 2269474 3105596 4538948 6211192 9077896 14751581 21560003 29503162 43120006 59006324 86240012 118012648 172480024 280280039 560560078 1121120156 2242240312