Search a number
-
+
323223552 = 21832137
BaseRepresentation
bin10011010001000…
…000000000000000
3211112012110100200
4103101000000000
51130221123202
652023445200
711003232501
oct2321000000
9745173320
10323223552
111564a6703
12902b6800
1351c6c552
1430cdaba8
151d599e1c
hex13440000

323223552 has 114 divisors (see below), whose sum is σ = 940570878. Its totient is φ = 106954752.

The previous prime is 323223539. The next prime is 323223553. The reversal of 323223552 is 255322323.

It can be written as a sum of positive squares in only one way, i.e., 285474816 + 37748736 = 16896^2 + 6144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323223553) 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 5 ways as a sum of consecutive naturals, for example, 2359228 + ... + 2359364.

Almost surely, 2323223552 is an apocalyptic number.

323223552 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 323223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470285439).

323223552 is an abundant number, since it is smaller than the sum of its proper divisors (617347326).

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

323223552 is an frugal number, since it uses more digits than its factorization.

323223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 323223552 is about 17978.4190628653. The cubic root of 323223552 is about 686.2794578614.

Adding to 323223552 its reverse (255322323), we get a palindrome (578545875).

The spelling of 323223552 in words is "three hundred twenty-three million, two hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1024 1096 1152 1233 1536 1644 2048 2192 2304 2466 3072 3288 4096 4384 4608 4932 6144 6576 8192 8768 9216 9864 12288 13152 16384 17536 18432 19728 24576 26304 32768 35072 36864 39456 49152 52608 65536 70144 73728 78912 98304 105216 131072 140288 147456 157824 196608 210432 262144 280576 294912 315648 393216 420864 561152 589824 631296 786432 841728 1122304 1179648 1262592 1683456 2244608 2359296 2525184 3366912 4489216 5050368 6733824 8978432 10100736 13467648 17956864 20201472 26935296 35913728 40402944 53870592 80805888 107741184 161611776 323223552