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2200213200000 = 273557923209
BaseRepresentation
bin100000000001000110111…
…011010001110010000000
321210100010122022012212210
4200001012323101302000
5242022014034400000
64402433004422120
7314650222424304
oct40010673216200
97710118265783
102200213200000
11779117aa0332
122b64bab47940
1312c62caaca9a
14786c2dcbd04
153c375017350
hex20046ed1c80

2200213200000 has 384 divisors, whose sum is σ = 7397714016000. Its totient is φ = 579271680000.

The previous prime is 2200213199957. The next prime is 2200213200013. The reversal of 2200213200000 is 23120022.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94788396 + ... + 94811604.

It is an arithmetic number, because the mean of its divisors is an integer number (19264880250).

Almost surely, 22200213200000 is an apocalyptic number.

2200213200000 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 2200213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698857008000).

2200213200000 is an abundant number, since it is smaller than the sum of its proper divisors (5197500816000).

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

2200213200000 is an frugal number, since it uses more digits than its factorization.

2200213200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23330 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2200213200000 its reverse (23120022), we get a palindrome (2200236320022).

The spelling of 2200213200000 in words is "two trillion, two hundred billion, two hundred thirteen million, two hundred thousand".