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2263107 = 371197101
BaseRepresentation
bin1000101000100001000011
311020222101210
420220201003
51034404412
6120301203
725143660
oct10504103
94228353
102263107
111306340
12911803
13613122
1442ca67
152ea83c
hex228843

2263107 has 32 divisors (see below), whose sum is σ = 3838464. Its totient is φ = 1152000.

The previous prime is 2263099. The next prime is 2263117. The reversal of 2263107 is 7013622.

It is a happy number.

It is not a de Polignac number, because 2263107 - 23 = 2263099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22357 + ... + 22457.

It is an arithmetic number, because the mean of its divisors is an integer number (119952).

22263107 is an apocalyptic number.

2263107 is a deficient number, since it is larger than the sum of its proper divisors (1575357).

2263107 is a wasteful number, since it uses less digits than its factorization.

2263107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2263107 is about 1504.3626557450. The cubic root of 2263107 is about 131.2910220979.

Adding to 2263107 its sum of digits (21), we get a triangular number (2263128 = T2127).

Adding to 2263107 its reverse (7013622), we get a palindrome (9276729).

It can be divided in two parts, 226 and 3107, that added together give a palindrome (3333).

The spelling of 2263107 in words is "two million, two hundred sixty-three thousand, one hundred seven".

Divisors: 1 3 7 11 21 33 77 97 101 231 291 303 679 707 1067 1111 2037 2121 3201 3333 7469 7777 9797 22407 23331 29391 68579 107767 205737 323301 754369 2263107