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2221233828 = 22311109263587
BaseRepresentation
bin1000010001100101…
…0101011010100100
312201210122100222120
42010121111122210
514022113440303
61004224425540
7106021114242
oct20431253244
95653570876
102221233828
11a3a912940
1251ba782b0
13295257558
14171007792
15d0013553
hex846556a4

2221233828 has 96 divisors (see below), whose sum is σ = 5737374720. Its totient is φ = 663258240.

The previous prime is 2221233803. The next prime is 2221233919. The reversal of 2221233828 is 8283321222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 3783751 + ... + 3784337.

It is an arithmetic number, because the mean of its divisors is an integer number (59764320).

Almost surely, 22221233828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221233828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868687360).

2221233828 is an abundant number, since it is smaller than the sum of its proper divisors (3516140892).

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

2221233828 is a wasteful number, since it uses less digits than its factorization.

2221233828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2221233828 is about 47129.9674092822. The cubic root of 2221233828 is about 1304.7623800707.

The spelling of 2221233828 in words is "two billion, two hundred twenty-one million, two hundred thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 263 327 436 526 587 654 789 1052 1174 1199 1308 1578 1761 2348 2398 2893 3156 3522 3597 4796 5786 6457 7044 7194 8679 11572 12914 14388 17358 19371 25828 28667 34716 38742 57334 63983 77484 86001 114668 127966 154381 172002 191949 255932 308762 315337 344004 383898 463143 617524 630674 703813 767796 926286 946011 1261348 1407626 1698191 1852572 1892022 2111439 2815252 3396382 3784044 4222878 5094573 6792764 8445756 10189146 16827529 20378292 33655058 50482587 67310116 100965174 185102819 201930348 370205638 555308457 740411276 1110616914 2221233828