Search a number
-
+
2181400596 = 2232173350257
BaseRepresentation
bin1000001000000101…
…1000100000010100
312122000200122001200
42002001120200110
513431414304341
61000242552500
7105025412334
oct20201304024
95560618050
102181400596
11a1a386611
1250a668730
13289c1b8ab
141699d90c4
15cb795db6
hex82058814

2181400596 has 36 divisors (see below), whose sum is σ = 5545985172. Its totient is φ = 722928384.

The previous prime is 2181400567. The next prime is 2181400631. The reversal of 2181400596 is 6950041812.

2181400596 is a `hidden beast` number, since 21 + 8 + 1 + 40 + 0 + 596 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1631028996 + 550371600 = 40386^2 + 23460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2181400596.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168901 + ... + 181356.

Almost surely, 22181400596 is an apocalyptic number.

It is an amenable number.

2181400596 is an abundant number, since it is smaller than the sum of its proper divisors (3364584576).

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

2181400596 is a wasteful number, since it uses less digits than its factorization.

2181400596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350440 (or 350435 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2181400596 is about 46705.4664466591. The cubic root of 2181400596 is about 1296.9158835138.

The spelling of 2181400596 in words is "two billion, one hundred eighty-one million, four hundred thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 350257 700514 1050771 1401028 2101542 3152313 4203084 6304626 12609252 60594461 121188922 181783383 242377844 363566766 545350149 727133532 1090700298 2181400596