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2253531 = 37239449
BaseRepresentation
bin1000100110001011011011
311020111021010
420212023123
51034103111
6120145003
725104030
oct10461333
94214233
102253531
1112aa125
12908163
1360b967
14429387
152e7aa6
hex2262db

2253531 has 16 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 1279488.

The previous prime is 2253521. The next prime is 2253539. The reversal of 2253531 is 1353522.

2253531 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 2253531 - 25 = 2253499 is a prime.

It is a super-3 number, since 3×22535313 = 34333008795783360873, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 2253498 and 2253507.

It is not an unprimeable number, because it can be changed into a prime (2253539) 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 15 ways as a sum of consecutive naturals, for example, 4795 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

22253531 is an apocalyptic number.

2253531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2253531 is a deficient number, since it is larger than the sum of its proper divisors (1202469).

2253531 is a wasteful number, since it uses less digits than its factorization.

2253531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its digits is 900, while the sum is 21.

The square root of 2253531 is about 1501.1765385857. The cubic root of 2253531 is about 131.1055808311.

Subtracting from 2253531 its reverse (1353522), we obtain a palindrome (900009).

The spelling of 2253531 in words is "two million, two hundred fifty-three thousand, five hundred thirty-one".

Divisors: 1 3 7 21 239 449 717 1347 1673 3143 5019 9429 107311 321933 751177 2253531