Search a number
-
+
202323000 = 23353116131
BaseRepresentation
bin11000000111100…
…11010000111000
3112002201001222110
430003303100320
5403243314000
632024252320
75004500655
oct1403632070
9462631873
10202323000
11a422a2a0
12579110a0
1332bbb769
141cc28c2c
1512b67850
hexc0f3438

202323000 has 128 divisors (see below), whose sum is σ = 688746240. Its totient is φ = 49040000.

The previous prime is 202322999. The next prime is 202323013. The reversal of 202323000 is 323202.

202323000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29935 + ... + 36065.

It is an arithmetic number, because the mean of its divisors is an integer number (5380830).

Almost surely, 2202323000 is an apocalyptic number.

202323000 is a gapful number since it is divisible by the number (20) 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 202323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

202323000 is an abundant number, since it is smaller than the sum of its proper divisors (486423240).

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

202323000 is a wasteful number, since it uses less digits than its factorization.

202323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 202323000 is about 14224.0289650999. The cubic root of 202323000 is about 587.0590020860.

Adding to 202323000 its reverse (323202), we get a palindrome (202646202).

It can be divided in two parts, 20232 and 3000, that added together give a palindrome (23232).

The spelling of 202323000 in words is "two hundred two million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6131 6600 8250 11000 12262 16500 18393 24524 30655 33000 36786 49048 61310 67441 73572 91965 122620 134882 147144 153275 183930 202323 245240 269764 306550 337205 367860 404646 459825 539528 613100 674410 735720 766375 809292 919650 1011615 1226200 1348820 1532750 1618584 1686025 1839300 2023230 2299125 2697640 3065500 3372050 3678600 4046460 4598250 5058075 6131000 6744100 8092920 8430125 9196500 10116150 13488200 16860250 18393000 20232300 25290375 33720500 40464600 50580750 67441000 101161500 202323000