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229022496 = 2532795217
BaseRepresentation
bin11011010011010…
…01101100100000
3120221221112210200
431221221230200
5432112204441
634420425200
75450442033
oct1551515440
9527845720
10229022496
11108305a9a
1264848200
13385a9391
14225b901a
151518d7b6
hexda69b20

229022496 has 36 divisors (see below), whose sum is σ = 651283542. Its totient is φ = 76340736.

The previous prime is 229022491. The next prime is 229022503. The reversal of 229022496 is 694220922.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 205635600 + 23386896 = 14340^2 + 4836^2 .

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

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 229022496.

It is not an unprimeable number, because it can be changed into a prime (229022491) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 397321 + ... + 397896.

Almost surely, 2229022496 is an apocalyptic number.

It is an amenable number.

229022496 is an abundant number, since it is smaller than the sum of its proper divisors (422261046).

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

229022496 is a wasteful number, since it uses less digits than its factorization.

229022496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795233 (or 795222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 229022496 is about 15133.4892209299. The cubic root of 229022496 is about 611.8233502721.

The spelling of 229022496 in words is "two hundred twenty-nine million, twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 795217 1590434 2385651 3180868 4771302 6361736 7156953 9542604 12723472 14313906 19085208 25446944 28627812 38170416 57255624 76340832 114511248 229022496