Search a number
-
+
20323200 = 273522973
BaseRepresentation
bin100110110000…
…1101110000000
31102020112012010
41031201232000
520200320300
62003332520
7334513212
oct115415600
942215163
1020323200
1110521137
126981140
134297581
1429b05b2
151bb6a50
hex1361b80

20323200 has 192 divisors, whose sum is σ = 70196400. Its totient is φ = 5160960.

The previous prime is 20323183. The next prime is 20323201. The reversal of 20323200 is 232302.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20323201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278364 + ... + 278436.

Almost surely, 220323200 is an apocalyptic number.

20323200 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 20323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35098200).

20323200 is an abundant number, since it is smaller than the sum of its proper divisors (49873200).

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

20323200 is a wasteful number, since it uses less digits than its factorization.

20323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

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

The square root of 20323200 is about 4508.1259964646. The cubic root of 20323200 is about 272.8961217045.

Adding to 20323200 its reverse (232302), we get a palindrome (20555502).

The spelling of 20323200 in words is "twenty million, three hundred twenty-three thousand, two hundred".