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2242132144 = 24743895231
BaseRepresentation
bin1000010110100100…
…0011100010110000
312210020222010002021
42011221003202300
514042441212034
61010252401224
7106363544260
oct20551034260
95706863067
102242132144
11a5069707a
12526a76214
13299693815
14173ac77a0
15d1c906b4
hex85a438b0

2242132144 has 80 divisors (see below), whose sum is σ = 5138242560. Its totient is φ = 927843840.

The previous prime is 2242132141. The next prime is 2242132157. The reversal of 2242132144 is 4412312422.

It is not an unprimeable number, because it can be changed into a prime (2242132141) 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, 426009 + ... + 431239.

It is an arithmetic number, because the mean of its divisors is an integer number (64228032).

Almost surely, 22242132144 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 2242132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569121280).

2242132144 is an abundant number, since it is smaller than the sum of its proper divisors (2896110416).

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

2242132144 is a wasteful number, since it uses less digits than its factorization.

2242132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5372 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 2242132144 is about 47351.1577894353. The cubic root of 2242132144 is about 1308.8415343564.

Adding to 2242132144 its reverse (4412312422), we get a palindrome (6654444566).

The spelling of 2242132144 in words is "two billion, two hundred forty-two million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 89 112 172 178 301 344 356 602 623 688 712 1204 1246 1424 2408 2492 3827 4816 4984 5231 7654 9968 10462 15308 20924 26789 30616 36617 41848 53578 61232 73234 83696 107156 146468 214312 224933 292936 428624 449866 465559 585872 899732 931118 1574531 1799464 1862236 3149062 3258913 3598928 3724472 6298124 6517826 7448944 12596248 13035652 20019037 25192496 26071304 40038074 52142608 80076148 140133259 160152296 280266518 320304592 560533036 1121066072 2242132144