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221233012 = 227112135023
BaseRepresentation
bin11010010111110…
…11111101110100
3120102021210122021
431023323331310
5423113424022
633541442524
75324310130
oct1513737564
9512253567
10221233012
11103975700
1262110444
1336aaca10
142154c3c0
15146507c7
hexd2fbf74

221233012 has 72 divisors (see below), whose sum is σ = 523862528. Its totient is φ = 79548480.

The previous prime is 221233009. The next prime is 221233057. The reversal of 221233012 is 210332122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41533 + ... + 46555.

Almost surely, 2221233012 is an apocalyptic number.

221233012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261931264).

221233012 is an abundant number, since it is smaller than the sum of its proper divisors (302629516).

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

221233012 is a wasteful number, since it uses less digits than its factorization.

221233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 221233012 is about 14873.9037243086. The cubic root of 221233012 is about 604.8067702472.

Adding to 221233012 its reverse (210332122), we get a palindrome (431565134).

The spelling of 221233012 in words is "two hundred twenty-one million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 5023 6292 10046 11011 20092 22022 35161 44044 55253 65299 70322 110506 130598 140644 221012 261196 386771 457093 607783 718289 773542 914186 1215566 1436578 1547084 1828372 2431132 2873156 4254481 5028023 7901179 8508962 10056046 15802358 17017924 20112092 31604716 55308253 110616506 221233012