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2164434516 = 223260123181
BaseRepresentation
bin1000000100000010…
…1010011001010100
312120211202122222100
42001000222121110
513413043401031
6554435202100
7104431250466
oct20100523124
95524678870
102164434516
11a10848762
12504a46330
1328655b3aa
14167660136
15ca043de6
hex8102a654

2164434516 has 18 divisors (see below), whose sum is σ = 5471209562. Its totient is φ = 721478160.

The previous prime is 2164434497. The next prime is 2164434523. The reversal of 2164434516 is 6154344612.

2164434516 is a `hidden beast` number, since 2 + 1 + 644 + 3 + 4 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1276632900 + 887801616 = 35730^2 + 29796^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 60123181 = 2164434516 / (2 + 1 + 6 + 4 + 4 + 3 + 4 + 5 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30061555 + ... + 30061626.

Almost surely, 22164434516 is an apocalyptic number.

It is an amenable number.

2164434516 is an abundant number, since it is smaller than the sum of its proper divisors (3306775046).

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

2164434516 is a wasteful number, since it uses less digits than its factorization.

2164434516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60123191 (or 60123186 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2164434516 is about 46523.4834895239. The cubic root of 2164434516 is about 1293.5448273953.

The spelling of 2164434516 in words is "two billion, one hundred sixty-four million, four hundred thirty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 60123181 120246362 180369543 240492724 360739086 541108629 721478172 1082217258 2164434516