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22021212000 = 253532323469
BaseRepresentation
bin10100100000100100…
…010000011101100000
32002211200210110212110
4110200210100131200
5330044412241000
614041050555320
71406464133154
oct244044203540
962750713773
1022021212000
119380444567
124326a38b40
1320cc36ac78
1410cc903064
1588d41d850
hex520910760

22021212000 has 288 divisors, whose sum is σ = 75436189920. Its totient is φ = 5615385600.

The previous prime is 22021211999. The next prime is 22021212011. The reversal of 22021212000 is 21212022.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6346266 + ... + 6349734.

It is an arithmetic number, because the mean of its divisors is an integer number (261931215).

Almost surely, 222021212000 is an apocalyptic number.

22021212000 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 22021212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37718094960).

22021212000 is an abundant number, since it is smaller than the sum of its proper divisors (53414977920).

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

22021212000 is a wasteful number, since it uses less digits than its factorization.

22021212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3502 counting only the distinct ones).

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

Adding to 22021212000 its reverse (21212022), we get a palindrome (22042424022).

The spelling of 22021212000 in words is "twenty-two billion, twenty-one million, two hundred twelve thousand".