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2266131 = 3731592
BaseRepresentation
bin1000101001010000010011
311021010112210
420221100103
51040004011
6120323203
725155540
oct10512023
94233483
102266131
11130863a
12913503
1361460a
1442dbc7
152eb6a6
hex229413

2266131 has 24 divisors (see below), whose sum is σ = 3625984. Its totient is φ = 1231920.

The previous prime is 2266129. The next prime is 2266133. The reversal of 2266131 is 1316622.

2266131 = T134 + T135 + ... + T251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2266129) and next prime (2266133).

It is not a de Polignac number, because 2266131 - 21 = 2266129 is a prime.

It is a super-2 number, since 2×22661312 = 10270699418322, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2266098 and 2266107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38380 + ... + 38438.

22266131 is an apocalyptic number.

2266131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2266131 is a deficient number, since it is larger than the sum of its proper divisors (1359853).

2266131 is an equidigital number, since it uses as much as digits as its factorization.

2266131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 100 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2266131 is about 1505.3673970164. The cubic root of 2266131 is about 131.3494737966.

The spelling of 2266131 in words is "two million, two hundred sixty-six thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 59 93 177 217 413 651 1239 1829 3481 5487 10443 12803 24367 38409 73101 107911 323733 755377 2266131