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22012221000 = 23353721113613
BaseRepresentation
bin10100100000000001…
…111101011001001000
32002211001212200112110
4110200001331121020
5330040112033000
614040130142320
71406324535300
oct244001753110
962731780473
1022012221000
119376363490
124323a219a0
1320ca540753
1410cb642600
1588c744850
hex52007d648

22012221000 has 384 divisors, whose sum is σ = 87160095360. Its totient is φ = 4573632000.

The previous prime is 22012220983. The next prime is 22012221013. The reversal of 22012221000 is 12221022.

It is a super-3 number, since 3×220122210003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 1610194 + ... + 1623806.

It is an arithmetic number, because the mean of its divisors is an integer number (226979415).

Almost surely, 222012221000 is an apocalyptic number.

22012221000 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 22012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43580047680).

22012221000 is an abundant number, since it is smaller than the sum of its proper divisors (65147874360).

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

22012221000 is a wasteful number, since it uses less digits than its factorization.

22012221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13662 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22012221000 its reverse (12221022), we get a palindrome (22024442022).

The spelling of 22012221000 in words is "twenty-two billion, twelve million, two hundred twenty-one thousand".