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22220112212010 = 232559791014991051
BaseRepresentation
bin1010000110101100001011…
…11001010011000000101010
32220200012222211021021022100
411003112011321103000222
510403023242211241020
6115131440103434230
74452231044324406
oct503260571230052
986605884237270
1022220112212010
117097551080639
1225aa4a6755976
13c5246987002b
1456b65dd64106
15287ee1d1ba90
hex143585e5302a

22220112212010 has 384 divisors, whose sum is σ = 60261926400000. Its totient is φ = 5677439040000.

The previous prime is 22220112212009. The next prime is 22220112212041. The reversal of 22220112212010 is 1021221102222.

It is a happy number.

22220112212010 is a `hidden beast` number, since 22 + 220 + 1 + 1 + 221 + 201 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 21141875985 + ... + 21141877035.

It is an arithmetic number, because the mean of its divisors is an integer number (156932100000).

Almost surely, 222220112212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220112212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30130963200000).

22220112212010 is an abundant number, since it is smaller than the sum of its proper divisors (38041814187990).

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

22220112212010 is a wasteful number, since it uses less digits than its factorization.

22220112212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22220112212010 its reverse (1021221102222), we get a palindrome (23241333314232).

The spelling of 22220112212010 in words is "twenty-two trillion, two hundred twenty billion, one hundred twelve million, two hundred twelve thousand, ten".