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2221256226 = 237674331823
BaseRepresentation
bin1000010001100101…
…1010111000100010
312201210200111201010
42010121122320202
514022120144401
61004225121350
7106021236450
oct20431327042
95653614633
102221256226
11a3a928752
1251ba89256
132952647c7
141710119d0
15d0019ed6
hex8465ae22

2221256226 has 64 divisors (see below), whose sum is σ = 5167669248. Its totient is φ = 623386368.

The previous prime is 2221256207. The next prime is 2221256231. The reversal of 2221256226 is 6226521222.

It is a junction number, because it is equal to n+sod(n) for n = 2221256193 and 2221256202.

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, 1217551 + ... + 1219373.

It is an arithmetic number, because the mean of its divisors is an integer number (80744832).

Almost surely, 22221256226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221256226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583834624).

2221256226 is an abundant number, since it is smaller than the sum of its proper divisors (2946413022).

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

2221256226 is a wasteful number, since it uses less digits than its factorization.

2221256226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335.

The product of its digits is 11520, while the sum is 30.

The square root of 2221256226 is about 47130.2050281982. The cubic root of 2221256226 is about 1304.7667656168.

Adding to 2221256226 its reverse (6226521222), we get a palindrome (8447777448).

The spelling of 2221256226 in words is "two billion, two hundred twenty-one million, two hundred fifty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 433 469 866 938 1299 1407 1823 2598 2814 3031 3646 5469 6062 9093 10938 12761 18186 25522 29011 38283 58022 76566 87033 122141 174066 203077 244282 366423 406154 609231 732846 789359 854987 1218462 1578718 1709974 2368077 2564961 4736154 5129922 5525513 11051026 16576539 33153078 52887053 105774106 158661159 317322318 370209371 740418742 1110628113 2221256226