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460950228 = 223212804173
BaseRepresentation
bin11011011110011…
…000101011010100
31012010100200211200
4123132120223110
51421000401403
6113423432500
714265004134
oct3336305324
91163320750
10460950228
11217215802
1210a455730
1374661c1b
144530cac4
152a702ca3
hex1b798ad4

460950228 has 18 divisors (see below), whose sum is σ = 1165179834. Its totient is φ = 153650064.

The previous prime is 460950187. The next prime is 460950229. The reversal of 460950228 is 822059064.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 377447184 + 83503044 = 19428^2 + 9138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4609502282 = 424950225386503968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12804173 = 460950228 / (4 + 6 + 0 + 9 + 5 + 0 + 2 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 460950192 and 460950201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460950229) 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, 6402051 + ... + 6402122.

It is an arithmetic number, because the mean of its divisors is an integer number (64732213).

Almost surely, 2460950228 is an apocalyptic number.

It is an amenable number.

460950228 is an abundant number, since it is smaller than the sum of its proper divisors (704229606).

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

460950228 is a wasteful number, since it uses less digits than its factorization.

460950228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12804183 (or 12804178 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 460950228 is about 21469.7514657250. The cubic root of 460950228 is about 772.4754357979.

The spelling of 460950228 in words is "four hundred sixty million, nine hundred fifty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 12804173 25608346 38412519 51216692 76825038 115237557 153650076 230475114 460950228