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225542121 = 37372811033
BaseRepresentation
bin11010111000101…
…11111111101001
3120201101201121220
431130113333221
5430214321441
634214052253
75406035130
oct1534277751
9521351556
10225542121
11106349152
126364a089
133795b19c
1421d50917
1514c02466
hexd717fe9

225542121 has 32 divisors (see below), whose sum is σ = 354571008. Its totient is φ = 124830720.

The previous prime is 225542101. The next prime is 225542131. The reversal of 225542121 is 121245522.

It is not a de Polignac number, because 225542121 - 214 = 225525737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225542091 and 225542100.

It is not an unprimeable number, because it can be changed into a prime (225542101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217821 + ... + 218853.

It is an arithmetic number, because the mean of its divisors is an integer number (11080344).

Almost surely, 2225542121 is an apocalyptic number.

225542121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225542121 is a deficient number, since it is larger than the sum of its proper divisors (129028887).

225542121 is a wasteful number, since it uses less digits than its factorization.

225542121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361.

The product of its digits is 1600, while the sum is 24.

The square root of 225542121 is about 15018.0598280870. The cubic root of 225542121 is about 608.7082950795.

Adding to 225542121 its reverse (121245522), we get a palindrome (346787643).

The spelling of 225542121 in words is "two hundred twenty-five million, five hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 21 37 111 259 281 777 843 1033 1967 3099 5901 7231 10397 21693 31191 38221 72779 114663 218337 267547 290273 802641 870819 2031911 6095733 10740101 32220303 75180707 225542121