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2242022432 = 251337314449
BaseRepresentation
bin1000010110100010…
…1000110000100000
312210020202112120212
42011220220300200
514042424204212
61010250153252
7106362606356
oct20550506040
95706675525
102242022432
11a50621701
12526a22828
132996558c0
14173a997d6
15d1c6ce22
hex85a28c20

2242022432 has 48 divisors (see below), whose sum is σ = 4766592600. Its totient is φ = 1031933952.

The previous prime is 2242022429. The next prime is 2242022459. The reversal of 2242022432 is 2342202422.

It can be written as a sum of positive squares in 4 ways, for example, as 2123735056 + 118287376 = 46084^2 + 10876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2242022398 and 2242022407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147944 + ... + 162392.

Almost surely, 22242022432 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 2242022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383296300).

2242022432 is an abundant number, since it is smaller than the sum of its proper divisors (2524570168).

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

2242022432 is a wasteful number, since it uses less digits than its factorization.

2242022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14845 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2242022432 is about 47349.9992819430. Note that the first 3 decimals coincide. The cubic root of 2242022432 is about 1308.8201859322.

Adding to 2242022432 its reverse (2342202422), we get a palindrome (4584224854).

The spelling of 2242022432 in words is "two billion, two hundred forty-two million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 373 416 746 1492 2984 4849 5968 9698 11936 14449 19396 28898 38792 57796 77584 115592 155168 187837 231184 375674 462368 751348 1502696 3005392 5389477 6010784 10778954 21557908 43115816 70063201 86231632 140126402 172463264 280252804 560505608 1121011216 2242022432