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221031312 = 24319124109
BaseRepresentation
bin11010010110010…
…10101110010000
3120101220112221220
431023022232100
5423041000222
633533245040
75322510105
oct1513125620
9511815856
10221031312
11103848107
1262033780
1336a3bc78
14214d8aac
1514610b5c
hexd2cab90

221031312 has 40 divisors (see below), whose sum is σ = 574010880. Its totient is φ = 73288320.

The previous prime is 221031257. The next prime is 221031323. The reversal of 221031312 is 213130122.

It is a junction number, because it is equal to n+sod(n) for n = 221031291 and 221031300.

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 7 ways as a sum of consecutive naturals, for example, 2887 + ... + 21222.

It is an arithmetic number, because the mean of its divisors is an integer number (14350272).

Almost surely, 2221031312 is an apocalyptic number.

It is an amenable number.

221031312 is an abundant number, since it is smaller than the sum of its proper divisors (352979568).

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

221031312 is a wasteful number, since it uses less digits than its factorization.

221031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24311 (or 24305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 221031312 is about 14867.1218465445. The cubic root of 221031312 is about 604.6229118857.

Adding to 221031312 its reverse (213130122), we get a palindrome (434161434).

The spelling of 221031312 in words is "two hundred twenty-one million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1528 2292 3056 4584 9168 24109 48218 72327 96436 144654 192872 289308 385744 578616 1157232 4604819 9209638 13814457 18419276 27628914 36838552 55257828 73677104 110515656 221031312