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2152015164 = 223213193137211
BaseRepresentation
bin1000000001000101…
…0010010100111100
312112222101200211100
42000101102110330
513401403441124
6553313053100
7104220553455
oct20021222474
95488350740
102152015164
11a04835932
12500857190
13283b00570
14165b4a12c
15c8dde1c9
hex8045253c

2152015164 has 288 divisors, whose sum is σ = 6568540160. Its totient is φ = 587865600.

The previous prime is 2152015111. The next prime is 2152015169. The reversal of 2152015164 is 4615102512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152015169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10199019 + ... + 10199229.

Almost surely, 22152015164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152015164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284270080).

2152015164 is an abundant number, since it is smaller than the sum of its proper divisors (4416524996).

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

2152015164 is a wasteful number, since it uses less digits than its factorization.

2152015164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2152015164 is about 46389.8174603005. The cubic root of 2152015164 is about 1291.0659946588.

Adding to 2152015164 its reverse (4615102512), we get a palindrome (6767117676).

The spelling of 2152015164 in words is "two billion, one hundred fifty-two million, fifteen thousand, one hundred sixty-four".