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2164310000 = 2454216431
BaseRepresentation
bin1000000100000000…
…1011111111110000
312120211112100011122
42001000023333300
513413030410000
6554432401412
7104430221456
oct20100137760
95524470148
102164310000
11a10773156
125049a6268
13286516808
1416762a9d6
15ca01c085
hex8100bff0

2164310000 has 50 divisors (see below), whose sum is σ = 5240035152. Its totient is φ = 865720000.

The previous prime is 2164309963. The next prime is 2164310021. The reversal of 2164310000 is 134612.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×21643100002 = 9368475552200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 98216 + ... + 118215.

Almost surely, 22164310000 is an apocalyptic number.

2164310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164310000 is an abundant number, since it is smaller than the sum of its proper divisors (3075725152).

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

2164310000 is an equidigital number, since it uses as much as digits as its factorization.

2164310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216459 (or 216438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2164310000 is about 46522.1452643792. The cubic root of 2164310000 is about 1293.5200218221.

Adding to 2164310000 its reverse (134612), we get a palindrome (2164444612).

The spelling of 2164310000 in words is "two billion, one hundred sixty-four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 216431 432862 865724 1082155 1731448 2164310 3462896 4328620 5410775 8657240 10821550 17314480 21643100 27053875 43286200 54107750 86572400 108215500 135269375 216431000 270538750 432862000 541077500 1082155000 2164310000