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229257 = 3371213
BaseRepresentation
bin110111111110001001
3102122111000
4313332021
524314012
64525213
71643250
oct677611
9378430
10229257
11147276
12b0809
1380472
145d797
1547ddc
hex37f89

229257 has 16 divisors (see below), whose sum is σ = 388480. Its totient is φ = 130896.

The previous prime is 229253. The next prime is 229261. The reversal of 229257 is 752922.

It is a happy number.

229257 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229253) and next prime (229261).

It is not a de Polignac number, because 229257 - 22 = 229253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Duffinian number.

229257 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 229257.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 229257.

It is not an unprimeable number, because it can be changed into a prime (229253) 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, 418 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (24280).

2229257 is an apocalyptic number.

229257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

229257 is a deficient number, since it is larger than the sum of its proper divisors (159223).

229257 is a wasteful number, since it uses less digits than its factorization.

229257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1223 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 229257 is about 478.8078946718. The cubic root of 229257 is about 61.2032101353.

The spelling of 229257 in words is "two hundred twenty-nine thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 189 1213 3639 8491 10917 25473 32751 76419 229257