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2263975 = 52717761
BaseRepresentation
bin1000101000101110100111
311021000120221
420220232213
51034421400
6120305211
725146340
oct10505647
94230527
102263975
111306a5a
12912207
1361363c
1442d0c7
152eac1a
hex228ba7

2263975 has 24 divisors (see below), whose sum is σ = 3401568. Its totient is φ = 1459200.

The previous prime is 2263969. The next prime is 2264027. The reversal of 2263975 is 5793622.

It is a happy number.

2263975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2263975 - 27 = 2263847 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

2263975 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2263975.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595 + ... + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (141732).

22263975 is an apocalyptic number.

2263975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2263975 is a deficient number, since it is larger than the sum of its proper divisors (1137593).

2263975 is a wasteful number, since it uses less digits than its factorization.

2263975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 790 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 2263975 is about 1504.6511223536. The cubic root of 2263975 is about 131.3078052255.

The spelling of 2263975 in words is "two million, two hundred sixty-three thousand, nine hundred seventy-five".

Divisors: 1 5 7 17 25 35 85 119 175 425 595 761 2975 3805 5327 12937 19025 26635 64685 90559 133175 323425 452795 2263975