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2253723 = 31922081
BaseRepresentation
bin1000100110001110011011
311020111112020
420212032123
51034104343
6120145523
725104423
oct10461633
94214466
102253723
1112aa28a
129082a3
1360ba84
14429483
152e7b83
hex22639b

2253723 has 12 divisors (see below), whose sum is σ = 3172968. Its totient is φ = 1422720.

The previous prime is 2253721. The next prime is 2253739. The reversal of 2253723 is 3273522.

2253723 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 2253723 - 21 = 2253721 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

2253723 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2253693 and 2253702.

It is not an unprimeable number, because it can be changed into a prime (2253721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (264414).

22253723 is an apocalyptic number.

2253723 is a deficient number, since it is larger than the sum of its proper divisors (919245).

2253723 is a wasteful number, since it uses less digits than its factorization.

2253723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2103 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 2253723 is about 1501.2404870639. The cubic root of 2253723 is about 131.1093041076.

The spelling of 2253723 in words is "two million, two hundred fifty-three thousand, seven hundred twenty-three".

Divisors: 1 3 19 57 361 1083 2081 6243 39539 118617 751241 2253723