Search a number
-
+
2155516632 = 2332174789421
BaseRepresentation
bin1000000001111010…
…1001001011011000
312120012222120221100
42000132221023120
513403303013012
6553520111400
7104262406023
oct20036511330
95505876840
102155516632
11a06807605
12501a65560
13284758239
141663bc1ba
15c93818dc
hex807a92d8

2155516632 has 192 divisors, whose sum is σ = 6398870400. Its totient is φ = 652861440.

The previous prime is 2155516631. The next prime is 2155516639. The reversal of 2155516632 is 2366155512.

2155516632 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 5 + 16 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155516631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5119782 + ... + 5120202.

It is an arithmetic number, because the mean of its divisors is an integer number (33327450).

Almost surely, 22155516632 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 2155516632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199435200).

2155516632 is an abundant number, since it is smaller than the sum of its proper divisors (4243353768).

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

2155516632 is a wasteful number, since it uses less digits than its factorization.

2155516632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2155516632 is about 46427.5417397906. The cubic root of 2155516632 is about 1291.7658312231.

The spelling of 2155516632 in words is "two billion, one hundred fifty-five million, five hundred sixteen thousand, six hundred thirty-two".