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2263941 = 321714797
BaseRepresentation
bin1000101000101110000101
311021000112200
420220232011
51034421231
6120305113
725146261
oct10505605
94230480
102263941
111306a29
12912199
13613614
1442d0a1
152eabe6
hex228b85

2263941 has 12 divisors (see below), whose sum is σ = 3462732. Its totient is φ = 1420416.

The previous prime is 2263939. The next prime is 2263957. The reversal of 2263941 is 1493622.

2263941 is a `hidden beast` number, since 22 + 639 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1313316 + 950625 = 1146^2 + 975^2 .

It is not a de Polignac number, because 2263941 - 21 = 2263939 is a prime.

It is a d-powerful number, because it can be written as 2 + 219 + 68 + 310 + 93 + 44 + 1 .

2263941 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263901) 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, 7246 + ... + 7551.

It is an arithmetic number, because the mean of its divisors is an integer number (288561).

22263941 is an apocalyptic number.

It is an amenable number.

2263941 is a deficient number, since it is larger than the sum of its proper divisors (1198791).

2263941 is a wasteful number, since it uses less digits than its factorization.

2263941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820 (or 14817 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2263941 is about 1504.6398240110. The cubic root of 2263941 is about 131.3071479026.

The spelling of 2263941 in words is "two million, two hundred sixty-three thousand, nine hundred forty-one".

Divisors: 1 3 9 17 51 153 14797 44391 133173 251549 754647 2263941