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2263525341 = 371128910009
BaseRepresentation
bin1000011011101010…
…1010011111011101
312211202020000000220
42012322222133131
514113430302331
61012335111553
7110043435150
oct20672523735
95752200026
102263525341
11a61779100
125320725b9
132a0c4410c
14176895c97
15d3ab9296
hex86eaa7dd

2263525341 has 48 divisors (see below), whose sum is σ = 3834230400. Its totient is φ = 1162529280.

The previous prime is 2263525331. The next prime is 2263525373. The reversal of 2263525341 is 1435253622.

It is a happy number.

It is not a de Polignac number, because 2263525341 - 215 = 2263492573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263525321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221145 + ... + 231153.

It is an arithmetic number, because the mean of its divisors is an integer number (79879800).

Almost surely, 22263525341 is an apocalyptic number.

2263525341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2263525341 is a deficient number, since it is larger than the sum of its proper divisors (1570705059).

2263525341 is a wasteful number, since it uses less digits than its factorization.

2263525341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130 (or 10119 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 2263525341 is about 47576.5209005451. The cubic root of 2263525341 is about 1312.9911142426.

Adding to 2263525341 its reverse (1435253622), we get a palindrome (3698778963).

The spelling of 2263525341 in words is "two billion, two hundred sixty-three million, five hundred twenty-five thousand, three hundred forty-one".

Divisors: 1 3 7 11 21 33 77 89 121 231 267 363 623 847 979 1869 2541 2937 6853 10009 10769 20559 30027 32307 70063 75383 110099 210189 226149 330297 770693 890801 1211089 2312079 2672403 3633267 6235607 8477623 9798811 18706821 25432869 29396433 68591677 107786921 205775031 323360763 754508447 2263525341