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2221221222 = 2321137476451
BaseRepresentation
bin1000010001100101…
…0010010101100110
312201210121201200200
42010121102111212
514022113034342
61004224251330
7106021032423
oct20431222546
95653551620
102221221222
11a3a904420
1251ba70b46
132952518ac
14171002d4a
15d000e94c
hex84652566

2221221222 has 96 divisors (see below), whose sum is σ = 5507633664. Its totient is φ = 640872000.

The previous prime is 2221221221. The next prime is 2221221229.

2221221222 is a `hidden beast` number, since 2 + 221 + 221 + 222 = 666.

2221221222 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2221221195 and 2221221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221221221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 341097 + ... + 347547.

It is an arithmetic number, because the mean of its divisors is an integer number (57371184).

Almost surely, 22221221222 is an apocalyptic number.

2221221222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753816832).

2221221222 is an abundant number, since it is smaller than the sum of its proper divisors (3286412442).

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

2221221222 is a wasteful number, since it uses less digits than its factorization.

2221221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6551 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2221221222 is about 47129.8336725264. The cubic root of 2221221222 is about 1304.7599117930.

It can be divided in two parts, 22212 and 21222, that added together give a palindrome (43434).

The spelling of 2221221222 in words is "two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 47 66 74 94 99 111 141 198 222 282 333 407 423 517 666 814 846 1034 1221 1551 1739 2442 3102 3478 3663 4653 5217 6451 7326 9306 10434 12902 15651 19129 19353 31302 38258 38706 57387 58059 70961 114774 116118 141922 172161 212883 238687 303197 344322 425766 477374 606394 638649 716061 909591 1277298 1432122 1819182 2148183 2625557 2728773 3335167 4296366 5251114 5457546 6670334 7876671 10005501 11218289 15753342 20011002 22436578 23630013 30016503 33654867 47260026 60033006 67309734 100964601 123401179 201929202 246802358 370203537 740407074 1110610611 2221221222