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2214486000 = 243353231783
BaseRepresentation
bin1000001111111110…
…0101111111110000
312201022221112201000
42003333211333300
514013402023000
61003424042000
7105606551256
oct20377457760
95638845630
102214486000
11a37024121
12519763300
13293a3405c
1417016c5d6
15ce62e000
hex83fe5ff0

2214486000 has 320 divisors, whose sum is σ = 8282327040. Its totient is φ = 564537600.

The previous prime is 2214485983. The next prime is 2214486007. The reversal of 2214486000 is 6844122.

2214486000 is a `hidden beast` number, since 2 + 2 + 14 + 48 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214486007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241109 + ... + 1242891.

It is an arithmetic number, because the mean of its divisors is an integer number (25882272).

Almost surely, 22214486000 is an apocalyptic number.

2214486000 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 2214486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141163520).

2214486000 is an abundant number, since it is smaller than the sum of its proper divisors (6067841040).

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

2214486000 is a wasteful number, since it uses less digits than its factorization.

2214486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2214486000 is about 47058.3255120707. The cubic root of 2214486000 is about 1303.4398054201.

The spelling of 2214486000 in words is "two billion, two hundred fourteen million, four hundred eighty-six thousand".