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2200200042040 = 2357111327435689
BaseRepresentation
bin100000000001000110001…
…001000101011000111000
321210100002201112201112221
4200001012021011120320
5242022002202321130
64402431414413424
7314650002533020
oct40010611053070
97710081481487
102200200042040
11779110623590
122b64b6661274
1312c62a153a00
14786c1364a80
153c373cb887a
hex20046245638

2200200042040 has 384 divisors, whose sum is σ = 6693450163200. Its totient is φ = 632061480960.

The previous prime is 2200200041983. The next prime is 2200200042067. The reversal of 2200200042040 is 402400020022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386743516 + ... + 386749204.

It is an arithmetic number, because the mean of its divisors is an integer number (17430859800).

Almost surely, 22200200042040 is an apocalyptic number.

2200200042040 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 2200200042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346725081600).

2200200042040 is an abundant number, since it is smaller than the sum of its proper divisors (4493250121160).

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

2200200042040 is a wasteful number, since it uses less digits than its factorization.

2200200042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2200200042040 its reverse (402400020022), we get a palindrome (2602600062062).

The spelling of 2200200042040 in words is "two trillion, two hundred billion, two hundred million, forty-two thousand, forty".