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2214000000 = 27335641
BaseRepresentation
bin1000001111110110…
…1111010110000000
312201022000212001000
42003331233112000
514013241000000
61003405412000
7105602455332
oct20375572600
95638025030
102214000000
11a36821a73
1251956a000
132938c3a94
14170083452
15ce585000
hex83f6f580

2214000000 has 448 divisors, whose sum is σ = 8367080400. Its totient is φ = 576000000.

The previous prime is 2213999999. The next prime is 2214000031. The reversal of 2214000000 is 4122.

2214000000 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53999980 + ... + 54000020.

Almost surely, 22214000000 is an apocalyptic number.

2214000000 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 2214000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183540200).

2214000000 is an abundant number, since it is smaller than the sum of its proper divisors (6153080400).

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

2214000000 is an frugal number, since it uses more digits than its factorization.

2214000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2214000000 is about 47053.1614240744. The cubic root of 2214000000 is about 1303.3444457306.

Adding to 2214000000 its reverse (4122), we get a palindrome (2214004122).

The spelling of 2214000000 in words is "two billion, two hundred fourteen million", and thus it is an aban number.