Search a number
-
+
2505222 = 233172729
BaseRepresentation
bin1001100011101000000110
311201021112000
421203220012
51120131342
6125410130
730202566
oct11435006
94637460
102505222
111461235
12a09946
136993a5
14492da6
1534744c
hex263a06

2505222 has 32 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 785664.

The previous prime is 2505193. The next prime is 2505227. The reversal of 2505222 is 2225052.

It is a super-2 number, since 2×25052222 = 12552274538568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 25 + 5 + 0 + 58 + 210 + 214 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2505195 and 2505204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

22505222 is an apocalyptic number.

2505222 is an abundant number, since it is smaller than the sum of its proper divisors (3391578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2505222 is a wasteful number, since it uses less digits than its factorization.

2505222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2505222 is about 1582.7893100473. The cubic root of 2505222 is about 135.8153130355.

The spelling of 2505222 in words is "two million, five hundred five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 2729 5458 8187 16374 24561 46393 49122 73683 92786 139179 147366 278358 417537 835074 1252611 2505222