Search a number
-
+
10648224 = 253236973
BaseRepresentation
bin101000100111…
…101010100000
3202000222121200
4220213222200
510211220344
61020121200
7156336246
oct50475240
922028550
1010648224
116013194
123696200
13228a932
1415b2796
15e05069
hexa27aa0

10648224 has 36 divisors (see below), whose sum is σ = 30281706. Its totient is φ = 3549312.

The previous prime is 10648223. The next prime is 10648229. The reversal of 10648224 is 42284601.

10648224 is a `hidden beast` number, since 10 + 648 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 535824 = 3180^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106482242 = 226769348708352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10648223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18199 + ... + 18774.

Almost surely, 210648224 is an apocalyptic number.

It is an amenable number.

10648224 is an abundant number, since it is smaller than the sum of its proper divisors (19633482).

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

10648224 is a wasteful number, since it uses less digits than its factorization.

10648224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36989 (or 36978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10648224 is about 3263.1616570437. The cubic root of 10648224 is about 220.0015426889.

The spelling of 10648224 in words is "ten million, six hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36973 73946 110919 147892 221838 295784 332757 443676 591568 665514 887352 1183136 1331028 1774704 2662056 3549408 5324112 10648224