Search a number
-
+
2153052801 = 32154672
BaseRepresentation
bin1000000001010100…
…1111101010000001
312120001100102012100
42000111033222001
513402140142201
6553351221013
7104232434604
oct20025175201
95501312170
102153052801
11a05384489
12501077769
132840a4953
14165d3a33b
15c9046886
hex8054fa81

2153052801 has 9 divisors (see below), whose sum is σ = 3110166241. Its totient is φ = 1435275732.

The previous prime is 2153052787. The next prime is 2153052817. The reversal of 2153052801 is 1082503512.

It is a happy number.

The square root of 2153052801 is 46401.

It is a perfect power (a square), and thus also a powerful number.

2153052801 is a `hidden beast` number, since 2 + 1 + 530 + 52 + 80 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2153052801 - 213 = 2153044609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2153052821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131470 + ... + 146936.

Almost surely, 22153052801 is an apocalyptic number.

2153052801 is the 46401-st square number.

2153052801 is the 23201-st centered octagonal number.

It is an amenable number.

2153052801 is a deficient number, since it is larger than the sum of its proper divisors (957113440).

2153052801 is an frugal number, since it uses more digits than its factorization.

2153052801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30940 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 2153052801 is about 1291.2734657168.

The spelling of 2153052801 in words is "two billion, one hundred fifty-three million, fifty-two thousand, eight hundred one".

Divisors: 1 3 9 15467 46401 139203 239228089 717684267 2153052801