Search a number
-
+
2222368448 = 26891013863
BaseRepresentation
bin1000010001110110…
…1010011011000000
312201212210000101112
42010131222123000
514022411242243
61004305022452
7106033551206
oct20435523300
95655700345
102222368448
11a40518343
12520324a28
13295563b21
14171221076
15d0189818
hex8476a6c0

2222368448 has 56 divisors (see below), whose sum is σ = 4504883040. Its totient is φ = 1087539200.

The previous prime is 2222368439. The next prime is 2222368453. The reversal of 2222368448 is 8448632222.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 573365 + ... + 577227.

It is an arithmetic number, because the mean of its divisors is an integer number (80444340).

Almost surely, 22222368448 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 2222368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252441520).

2222368448 is an abundant number, since it is smaller than the sum of its proper divisors (2282514592).

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

2222368448 is a wasteful number, since it uses less digits than its factorization.

2222368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4055 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 2222368448 is about 47142.0030121759. The cubic root of 2222368448 is about 1304.9845024901.

The spelling of 2222368448 in words is "two billion, two hundred twenty-two million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 89 101 178 202 356 404 712 808 1424 1616 2848 3232 3863 5696 6464 7726 8989 15452 17978 30904 35956 61808 71912 123616 143824 247232 287648 343807 390163 575296 687614 780326 1375228 1560652 2750456 3121304 5500912 6242608 11001824 12485216 22003648 24970432 34724507 69449014 138898028 277796056 555592112 1111184224 2222368448