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202312 = 2311319
BaseRepresentation
bin110001011001001000
3101021112001
4301121020
522433222
64200344
71501555
oct613110
9337461
10202312
11129000
12990b4
1371116
1453a2c
153ee27
hex31648

202312 has 32 divisors (see below), whose sum is σ = 439200. Its totient is φ = 87120.

The previous prime is 202309. The next prime is 202327. The reversal of 202312 is 213202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10639 + ... + 10657.

It is an arithmetic number, because the mean of its divisors is an integer number (13725).

202312 is a Friedman number, since it can be written as 22^3*(20-1), using all its digits and the basic arithmetic operations.

2202312 is an apocalyptic number.

202312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219600).

202312 is an abundant number, since it is smaller than the sum of its proper divisors (236888).

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

202312 is a wasteful number, since it uses less digits than its factorization.

202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 202312 is about 449.7910626057. The cubic root of 202312 is about 58.7048362719.

Adding to 202312 its reverse (213202), we get a palindrome (415514).

It can be divided in two parts, 20 and 2312, that added together give a palindrome (2332).

The spelling of 202312 in words is "two hundred two thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1331 1672 2299 2662 4598 5324 9196 10648 18392 25289 50578 101156 202312