Search a number
-
+
2153014431 = 31947597937
BaseRepresentation
bin1000000001010100…
…0110010010011111
312120001021110120020
42000111012102133
513402132430211
6553350323223
7104232215001
oct20025062237
95501243506
102153014431
11a05358677
12501059513
13284090349
14165d2a371
15c903a306
hex8054649f

2153014431 has 16 divisors (see below), whose sum is σ = 3022790400. Its totient is φ = 1359341568.

The previous prime is 2153014417. The next prime is 2153014441. The reversal of 2153014431 is 1344103512.

It is a happy number.

It is not a de Polignac number, because 2153014431 - 210 = 2153013407 is a prime.

It is a super-2 number, since 2×21530144312 = 9270942280188507522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153014411) 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 15 ways as a sum of consecutive naturals, for example, 267295 + ... + 275231.

It is an arithmetic number, because the mean of its divisors is an integer number (188924400).

Almost surely, 22153014431 is an apocalyptic number.

2153014431 is a deficient number, since it is larger than the sum of its proper divisors (869775969).

2153014431 is a wasteful number, since it uses less digits than its factorization.

2153014431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12718.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2153014431 is about 46400.5865372411. The cubic root of 2153014431 is about 1291.2657949873.

Adding to 2153014431 its reverse (1344103512), we get a palindrome (3497117943).

The spelling of 2153014431 in words is "two billion, one hundred fifty-three million, fourteen thousand, four hundred thirty-one".

Divisors: 1 3 19 57 4759 7937 14277 23811 90421 150803 271263 452409 37772183 113316549 717671477 2153014431