Search a number
-
+
2224091952 = 243322692
BaseRepresentation
bin1000010010010000…
…1111001100110000
312202000000120121000
42010210033030300
514023331420302
61004410002000
7106054320045
oct20444171460
95660016530
102224091952
11a41495225
12520a16300
13295a18454
1417154d1cc
15d03ca31c
hex8490f330

2224091952 has 60 divisors (see below), whose sum is σ = 6386782440. Its totient is φ = 741037248.

The previous prime is 2224091923. The next prime is 2224091953. The reversal of 2224091952 is 2591904222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2224091953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 979074 + ... + 981342.

It is an arithmetic number, because the mean of its divisors is an integer number (106446374).

Almost surely, 22224091952 is an apocalyptic number.

It is an amenable number.

2224091952 is an abundant number, since it is smaller than the sum of its proper divisors (4162690488).

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

2224091952 is an frugal number, since it uses more digits than its factorization.

2224091952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2224091952 is about 47160.2793884854. The cubic root of 2224091952 is about 1305.3217650232.

The spelling of 2224091952 in words is "two billion, two hundred twenty-four million, ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2269 4538 6807 9076 13614 18152 20421 27228 36304 40842 54456 61263 81684 108912 122526 163368 245052 326736 490104 980208 5148361 10296722 15445083 20593444 30890166 41186888 46335249 61780332 82373776 92670498 123560664 139005747 185340996 247121328 278011494 370681992 556022988 741363984 1112045976 2224091952