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2212234341400 = 2352238342113763
BaseRepresentation
bin100000001100010011011…
…100010010110000011000
321211111011102012110210001
4200030103130102300120
5242221123442411100
64412141511302344
7315554141432626
oct40142334226030
97744142173701
102212234341400
11783226681836
122b88b497a9b4
131307c74373c5
1479103750516
153c82a561d6a
hex20313712c18

2212234341400 has 192 divisors, whose sum is σ = 5445033995520. Its totient is φ = 834175372800.

The previous prime is 2212234341389. The next prime is 2212234341407. The reversal of 2212234341400 is 41434322122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212234341407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160730919 + ... + 160744681.

It is an arithmetic number, because the mean of its divisors is an integer number (28359552060).

Almost surely, 22212234341400 is an apocalyptic number.

2212234341400 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 2212234341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722516997760).

2212234341400 is an abundant number, since it is smaller than the sum of its proper divisors (3232799654120).

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

2212234341400 is a wasteful number, since it uses less digits than its factorization.

2212234341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14306 (or 14297 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2212234341400 its reverse (41434322122), we get a palindrome (2253668663522).

The spelling of 2212234341400 in words is "two trillion, two hundred twelve billion, two hundred thirty-four million, three hundred forty-one thousand, four hundred".