Search a number
-
+
2532264021 = 3272910113723
BaseRepresentation
bin1001011011101111…
…0100100001010101
320112110220100012100
42112323310201111
520141224422041
61055135112313
7116515613640
oct22673644125
96473810170
102532264021
11108a440491
125a8072699
13314817aa1
141a044ca57
15ec4a06b6
hex96ef4855

2532264021 has 48 divisors (see below), whose sum is σ = 4367525760. Its totient is φ = 1383177600.

The previous prime is 2532264001. The next prime is 2532264037. The reversal of 2532264021 is 1204622352.

It is a happy number.

2532264021 is a `hidden beast` number, since 253 + 2 + 2 + 6 + 402 + 1 = 666.

It is not a de Polignac number, because 2532264021 - 25 = 2532263989 is a prime.

It is a super-2 number, since 2×25322640212 = 12824722144102176882, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532264001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177666 + ... + 191388.

It is an arithmetic number, because the mean of its divisors is an integer number (90990120).

Almost surely, 22532264021 is an apocalyptic number.

2532264021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2532264021 is a deficient number, since it is larger than the sum of its proper divisors (1835261739).

2532264021 is a wasteful number, since it uses less digits than its factorization.

2532264021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866 (or 13863 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2532264021 is about 50321.6059064096. The cubic root of 2532264021 is about 1363.0224053596.

Adding to 2532264021 its reverse (1204622352), we get a palindrome (3736886373).

The spelling of 2532264021 in words is "two billion, five hundred thirty-two million, two hundred sixty-four thousand, twenty-one".

Divisors: 1 3 7 9 21 29 63 87 101 203 261 303 609 707 909 1827 2121 2929 6363 8787 13723 20503 26361 41169 61509 96061 123507 184527 288183 397967 864549 1193901 1386023 2785769 3581703 4158069 8357307 9702161 12474207 25071921 29106483 40194667 87319449 120584001 281362669 361752003 844088007 2532264021