Search a number
-
+
2212120000200 = 2335211479369929
BaseRepresentation
bin100000001100001100101…
…000000111011011001000
321211110212110001100010210
4200030030220013123020
5242220410210001300
64412122304441120
7315551252520435
oct40141450073310
97743773040123
102212120000200
11783178085580
122b88826191a0
131307a98420a6
14790d24a8b8c
153c8204c8050
hex2030ca076c8

2212120000200 has 192 divisors, whose sum is σ = 7482655454400. Its totient is φ = 536151961600.

The previous prime is 2212120000193. The next prime is 2212120000243. The reversal of 2212120000200 is 20000212122.

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, 31598836 + ... + 31668764.

It is an arithmetic number, because the mean of its divisors is an integer number (38972163825).

Almost surely, 22212120000200 is an apocalyptic number.

2212120000200 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 2212120000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741327727200).

2212120000200 is an abundant number, since it is smaller than the sum of its proper divisors (5270535454200).

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

2212120000200 is a wasteful number, since it uses less digits than its factorization.

2212120000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74752 (or 74743 counting only the distinct ones).

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

Adding to 2212120000200 its reverse (20000212122), we get a palindrome (2232120212322).

The spelling of 2212120000200 in words is "two trillion, two hundred twelve billion, one hundred twenty million, two hundred", and thus it is an aban number.