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221032096 = 2517406309
BaseRepresentation
bin11010010110010…
…10111010100000
3120101220121000221
431023022322200
5423041011341
633533252424
75322512305
oct1513127240
9511817027
10221032096
1110384875a
1262034114
1336a3c42c
14214d90ac
1514610ed1
hexd2caea0

221032096 has 24 divisors (see below), whose sum is σ = 460755540. Its totient is φ = 104014848.

The previous prime is 221032087. The next prime is 221032103. The reversal of 221032096 is 690230122.

It is a happy number.

221032096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189447696 + 31584400 = 13764^2 + 5620^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221032096.

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 3 ways as a sum of consecutive naturals, for example, 202611 + ... + 203698.

Almost surely, 2221032096 is an apocalyptic number.

It is an amenable number.

221032096 is an abundant number, since it is smaller than the sum of its proper divisors (239723444).

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

221032096 is a wasteful number, since it uses less digits than its factorization.

221032096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406336 (or 406328 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 221032096 is about 14867.1482134268. The cubic root of 221032096 is about 604.6236267524.

The spelling of 221032096 in words is "two hundred twenty-one million, thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 406309 812618 1625236 3250472 6500944 6907253 13001888 13814506 27629012 55258024 110516048 221032096