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2148000000 = 28356179
BaseRepresentation
bin1000000000000111…
…1110000100000000
312112200211201001120
42000001332010000
513344342000000
6553051032240
7104141461446
oct20001760400
95480751046
102148000000
11a02543213
124bb43b680
13283025b23
141653c2b96
15c88996a0
hex8007e100

2148000000 has 252 divisors, whose sum is σ = 7185845520. Its totient is φ = 569600000.

The previous prime is 2147999999. The next prime is 2148000011. The reversal of 2148000000 is 8412.

It is a super-2 number, since 2×21480000002 = 9227808000000000000, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 11999911 + ... + 12000089.

It is an arithmetic number, because the mean of its divisors is an integer number (28515260).

Almost surely, 22148000000 is an apocalyptic number.

2148000000 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 2148000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592922760).

2148000000 is an abundant number, since it is smaller than the sum of its proper divisors (5037845520).

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

2148000000 is an frugal number, since it uses more digits than its factorization.

2148000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2148000000 is about 46346.5209050259. The cubic root of 2148000000 is about 1290.2625509707.

Adding to 2148000000 its reverse (8412), we get a palindrome (2148008412).

The spelling of 2148000000 in words is "two billion, one hundred forty-eight million", and thus it is an aban number.