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231552 = 273367
BaseRepresentation
bin111000100010000000
3102202122000
4320202000
524402202
64544000
71653036
oct704200
9382560
10231552
11148a72
12b2000
1381519
1460556
154891c
hex38880

231552 has 64 divisors (see below), whose sum is σ = 693600. Its totient is φ = 76032.

The previous prime is 231551. The next prime is 231559. The reversal of 231552 is 255132.

Adding to 231552 its reverse (255132), we get a palindrome (486684).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (231551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3423 + ... + 3489.

2231552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346800).

231552 is an abundant number, since it is smaller than the sum of its proper divisors (462048).

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

231552 is an equidigital number, since it uses as much as digits as its factorization.

231552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 231552 is about 481.1985037383. The cubic root of 231552 is about 61.4067593629.

The spelling of 231552 in words is "two hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 268 288 384 402 432 536 576 603 804 864 1072 1152 1206 1608 1728 1809 2144 2412 3216 3456 3618 4288 4824 6432 7236 8576 9648 12864 14472 19296 25728 28944 38592 57888 77184 115776 231552