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2212314000 = 2435313113251
BaseRepresentation
bin1000001111011101…
…0011101110010000
312201011212012021120
42003313103232100
514012323022000
61003305322240
7105552234021
oct20367235620
95634765246
102212314000
11a35880286
12518a96380
13293453550
1416db64c48
15ce3506a0
hex83dd3b90

2212314000 has 320 divisors, whose sum is σ = 7780002048. Its totient is φ = 537600000.

The previous prime is 2212313947. The next prime is 2212314019. The reversal of 2212314000 is 4132122.

2212314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 8813875 + ... + 8814125.

Almost surely, 22212314000 is an apocalyptic number.

2212314000 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 2212314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890001024).

2212314000 is an abundant number, since it is smaller than the sum of its proper divisors (5567688048).

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

2212314000 is a wasteful number, since it uses less digits than its factorization.

2212314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2212314000 is about 47035.2421063185. The cubic root of 2212314000 is about 1303.0135217969.

Adding to 2212314000 its reverse (4132122), we get a palindrome (2216446122).

The spelling of 2212314000 in words is "two billion, two hundred twelve million, three hundred fourteen thousand".