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22233221220 = 22357475379269
BaseRepresentation
bin10100101101001101…
…000000100001100100
32010101110201122211210
4110231031000201210
5331013201034340
614114103031420
71414650155640
oct245515004144
963343648753
1022233221220
11947a08a1a1
124385a3b570
13213426b502
14110cb2dc20
158a1d4b180
hex52d340864

22233221220 has 384 divisors, whose sum is σ = 75246796800. Its totient is φ = 4800227328.

The previous prime is 22233221201. The next prime is 22233221221. The reversal of 22233221220 is 2212233222.

It is a super-3 number, since 3×222332212203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22233221221) 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 127 ways as a sum of consecutive naturals, for example, 82651246 + ... + 82651514.

It is an arithmetic number, because the mean of its divisors is an integer number (195955200).

Almost surely, 222233221220 is an apocalyptic number.

22233221220 is a gapful number since it is divisible by the number (20) 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 22233221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37623398400).

22233221220 is an abundant number, since it is smaller than the sum of its proper divisors (53013575580).

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

22233221220 is a wasteful number, since it uses less digits than its factorization.

22233221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22233221220 its reverse (2212233222), we get a palindrome (24445454442).

The spelling of 22233221220 in words is "twenty-two billion, two hundred thirty-three million, two hundred twenty-one thousand, two hundred twenty".