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2221213202000 = 2453131911339791
BaseRepresentation
bin100000010100101010100…
…111111011011001010000
321212100100011111211222122
4200110222213323121100
5242343021034431000
64420224455353412
7316322506461032
oct40245247733120
97770304454878
102221213202000
11787013a44691
122ba59b982868
131315c86c5780
1479716021c52
153cba3965085
hex2052a9fb650

2221213202000 has 320 divisors, whose sum is σ = 6142496855040. Its totient is φ = 770079744000.

The previous prime is 2221213201997. The next prime is 2221213202003. The reversal of 2221213202000 is 2023121222.

It is an interprime number because it is at equal distance from previous prime (2221213201997) and next prime (2221213202003).

It is a self number, because there is not a number n which added to its sum of digits gives 2221213202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221213202003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 55802105 + ... + 55841895.

It is an arithmetic number, because the mean of its divisors is an integer number (19195302672).

Almost surely, 22221213202000 is an apocalyptic number.

2221213202000 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 2221213202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071248427520).

2221213202000 is an abundant number, since it is smaller than the sum of its proper divisors (3921283653040).

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

2221213202000 is a wasteful number, since it uses less digits than its factorization.

2221213202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39959 (or 39943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2221213202000 its reverse (2023121222), we get a palindrome (2223236323222).

The spelling of 2221213202000 in words is "two trillion, two hundred twenty-one billion, two hundred thirteen million, two hundred two thousand".