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2212380000 = 25335417241
BaseRepresentation
bin1000001111011110…
…0011110101100000
312201011222112211000
42003313203311200
514012332130000
61003310552000
7105552630315
oct20367436540
95634875730
102212380000
11a35915926
12518b08600
132934775bc
1416db80d0c
15ce365000
hex83de3d60

2212380000 has 480 divisors, whose sum is σ = 8573130720. Its totient is φ = 552960000.

The previous prime is 2212379989. The next prime is 2212380011. The reversal of 2212380000 is 832122.

It is a happy number.

2212380000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2212379989) and next prime (2212380011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9179880 + ... + 9180120.

It is an arithmetic number, because the mean of its divisors is an integer number (17860689).

Almost surely, 22212380000 is an apocalyptic number.

2212380000 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 2212380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286565360).

2212380000 is an abundant number, since it is smaller than the sum of its proper divisors (6360750720).

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

2212380000 is a wasteful number, since it uses less digits than its factorization.

2212380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2212380000 is about 47035.9437026621. The cubic root of 2212380000 is about 1303.0264792760.

The spelling of 2212380000 in words is "two billion, two hundred twelve million, three hundred eighty thousand".