Search a number
-
+
323221152 = 25316720161
BaseRepresentation
bin10011010000111…
…111011010100000
3211112012100001210
4103100333122200
51130221034102
652023430120
711003222502
oct2320773240
9745170053
10323221152
111564a4921
12902b5340
1351c6b427
1430cd9d72
151d59936c
hex1343f6a0

323221152 has 48 divisors (see below), whose sum is σ = 853578432. Its totient is φ = 107089920.

The previous prime is 323221133. The next prime is 323221207. The reversal of 323221152 is 251122323.

Adding to 323221152 its reverse (251122323), we get a palindrome (574343475).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5952 + ... + 26112.

It is an arithmetic number, because the mean of its divisors is an integer number (17782884).

Almost surely, 2323221152 is an apocalyptic number.

323221152 is a gapful number since it is divisible by the number (32) 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 323221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426789216).

323221152 is an abundant number, since it is smaller than the sum of its proper divisors (530357280).

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

323221152 is a wasteful number, since it uses less digits than its factorization.

323221152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20341 (or 20333 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 323221152 is about 17978.3523160494. The cubic root of 323221152 is about 686.2777592694.

The spelling of 323221152 in words is "three hundred twenty-three million, two hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 16032 20161 40322 60483 80644 120966 161288 241932 322576 483864 645152 967728 1935456 3366887 6733774 10100661 13467548 20201322 26935096 40402644 53870192 80805288 107740384 161610576 323221152