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2201342000 = 2453111343179
BaseRepresentation
bin1000001100110101…
…1101000000110000
312200102012202112012
42003031131000300
514002020421000
61002234222052
7105360045464
oct20315350060
95612182465
102201342000
11a2a666910
12515284928
132910b1440
1416c50a4a4
15cd3d4735
hex8335d030

2201342000 has 320 divisors, whose sum is σ = 6434588160. Its totient is φ = 717696000.

The previous prime is 2201341999. The next prime is 2201342051. The reversal of 2201342000 is 2431022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12297911 + ... + 12298089.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 22201342000 is an apocalyptic number.

2201342000 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 2201342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

2201342000 is an abundant number, since it is smaller than the sum of its proper divisors (4233246160).

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

2201342000 is a wasteful number, since it uses less digits than its factorization.

2201342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2201342000 is about 46918.4611853373. The cubic root of 2201342000 is about 1300.8558466916.

Adding to 2201342000 its reverse (2431022), we get a palindrome (2203773022).

The spelling of 2201342000 in words is "two billion, two hundred one million, three hundred forty-two thousand".