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252234 = 236173
BaseRepresentation
bin111101100101001010
3110211000000
4331211022
531032414
65223430
72100243
oct754512
9424000
10252234
11162564
12101b76
138aa68
1467cca
154eb09
hex3d94a

252234 has 28 divisors (see below), whose sum is σ = 570546. Its totient is φ = 83592.

The previous prime is 252233. The next prime is 252253. The reversal of 252234 is 432252.

It can be written as a sum of positive squares in only one way, i.e., 164025 + 88209 = 405^2 + 297^2 .

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

It is not an unprimeable number, because it can be changed into a prime (252233) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1372 + ... + 1544.

2252234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285273).

252234 is an abundant number, since it is smaller than the sum of its proper divisors (318312).

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

252234 is an equidigital number, since it uses as much as digits as its factorization.

252234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 252234 is about 502.2290314189. The cubic root of 252234 is about 63.1831405651.

Adding to 252234 its sum of digits (18), we get a palindrome (252252).

Adding to 252234 its reverse (432252), we get a palindrome (684486).

It can be divided in two parts, 2522 and 34, that added together give a triangular number (2556 = T71).

The spelling of 252234 in words is "two hundred fifty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 243 346 486 519 729 1038 1458 1557 3114 4671 9342 14013 28026 42039 84078 126117 252234