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2199537864 = 233230549137
BaseRepresentation
bin1000001100011010…
…0100100011001000
312200021211002201100
42003012210203020
514001040202424
61002131421400
7105335522556
oct20306444310
95607732640
102199537864
11a29644397
12514754860
132908cc1c4
1416c19abd6
15cd179dc9
hex831a48c8

2199537864 has 24 divisors (see below), whose sum is σ = 5957081910. Its totient is φ = 733179264.

The previous prime is 2199537839. The next prime is 2199537919. The reversal of 2199537864 is 4687359912.

2199537864 is a `hidden beast` number, since 21 + 9 + 9 + 537 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1874024100 + 325513764 = 43290^2 + 18042^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2199537864.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15274497 + ... + 15274640.

Almost surely, 22199537864 is an apocalyptic number.

2199537864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2199537864 is an abundant number, since it is smaller than the sum of its proper divisors (3757544046).

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

2199537864 is a wasteful number, since it uses less digits than its factorization.

2199537864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30549149 (or 30549142 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 2199537864 is about 46899.2309531830. The cubic root of 2199537864 is about 1300.5003722726.

The spelling of 2199537864 in words is "two billion, one hundred ninety-nine million, five hundred thirty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30549137 61098274 91647411 122196548 183294822 244393096 274942233 366589644 549884466 733179288 1099768932 2199537864