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2252103201 = 32306181749
BaseRepresentation
bin1000011000111100…
…0101111000100001
312210221201200210200
42012033011320201
514103014300301
61011250215413
7106544363355
oct20617057041
95727650720
102252103201
11a56287517
1252a284569
1329b77515a
14175161465
15d2aaec86
hex863c5e21

2252103201 has 12 divisors (see below), whose sum is σ = 3254140500. Its totient is φ = 1500893280.

The previous prime is 2252103181. The next prime is 2252103247. The reversal of 2252103201 is 1023012522.

It can be written as a sum of positive squares in 2 ways, for example, as 1065369600 + 1186733601 = 32640^2 + 34449^2 .

It is not a de Polignac number, because 2252103201 - 29 = 2252102689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2252103251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13326 + ... + 68423.

It is an arithmetic number, because the mean of its divisors is an integer number (271178375).

Almost surely, 22252103201 is an apocalyptic number.

It is an amenable number.

2252103201 is a deficient number, since it is larger than the sum of its proper divisors (1002037299).

2252103201 is a wasteful number, since it uses less digits than its factorization.

2252103201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84816 (or 84813 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2252103201 is about 47456.3294092579. The cubic root of 2252103201 is about 1310.7788622430.

Adding to 2252103201 its reverse (1023012522), we get a palindrome (3275115723).

The spelling of 2252103201 in words is "two billion, two hundred fifty-two million, one hundred three thousand, two hundred one".

Divisors: 1 3 9 3061 9183 27549 81749 245247 735741 250233689 750701067 2252103201