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2215134000 = 2433531719127
BaseRepresentation
bin1000010000001000…
…0100001100110000
312201101011110121000
42010002010030300
514014033242000
61003450002000
7105615220422
oct20402041460
95641143530
102215134000
11a37426a62
12519a16300
13293bccca1
1417029a812
15ce70b000
hex84084330

2215134000 has 640 divisors, whose sum is σ = 8913715200. Its totient is φ = 522547200.

The previous prime is 2215133989. The next prime is 2215134013. The reversal of 2215134000 is 4315122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17441937 + ... + 17442063.

It is an arithmetic number, because the mean of its divisors is an integer number (13927680).

Almost surely, 22215134000 is an apocalyptic number.

2215134000 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 2215134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456857600).

2215134000 is an abundant number, since it is smaller than the sum of its proper divisors (6698581200).

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

2215134000 is a wasteful number, since it uses less digits than its factorization.

2215134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2215134000 is about 47065.2100813329. The cubic root of 2215134000 is about 1303.5669299722.

Adding to 2215134000 its reverse (4315122), we get a palindrome (2219449122).

The spelling of 2215134000 in words is "two billion, two hundred fifteen million, one hundred thirty-four thousand".