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2149006600 = 235213826541
BaseRepresentation
bin1000000000010111…
…0011110100001000
312112202201211212001
42000011303310020
513400121202400
6553124400344
7104153153236
oct20005636410
95482654761
102149006600
11a03070514
124bb8460b4
132832b9050
141655a5956
15c89e7a6a
hex80173d08

2149006600 has 48 divisors (see below), whose sum is σ = 5380788420. Its totient is φ = 793478400.

The previous prime is 2149006589. The next prime is 2149006603. The reversal of 2149006600 is 66009412.

It can be written as a sum of positive squares in 6 ways, for example, as 358193476 + 1790813124 = 18926^2 + 42318^2 .

It is not an unprimeable number, because it can be changed into a prime (2149006603) 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 11 ways as a sum of consecutive naturals, for example, 410671 + ... + 415870.

Almost surely, 22149006600 is an apocalyptic number.

2149006600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2149006600 is an abundant number, since it is smaller than the sum of its proper divisors (3231781820).

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

2149006600 is a wasteful number, since it uses less digits than its factorization.

2149006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826570 (or 826561 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2149006600 is about 46357.3791321295. The cubic root of 2149006600 is about 1290.4640679567.

The spelling of 2149006600 in words is "two billion, one hundred forty-nine million, six thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 826541 1653082 3306164 4132705 6612328 8265410 10745033 16530820 20663525 21490066 33061640 41327050 42980132 53725165 82654100 85960264 107450330 165308200 214900660 268625825 429801320 537251650 1074503300 2149006600