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2320112232 = 2332378531021
BaseRepresentation
bin1000101001001010…
…0001101001101000
312222200200220122200
42022102201221220
514222422042412
61022120020200
7111331425414
oct21222415150
95880626580
102320112232
11a90708729
12549001660
132ac897699
141801c5d44
15d8a459dc
hex8a4a1a68

2320112232 has 96 divisors (see below), whose sum is σ = 6467359080. Its totient is φ = 750850560.

The previous prime is 2320112191. The next prime is 2320112233. The reversal of 2320112232 is 2322110232.

2320112232 is a `hidden beast` number, since 2 + 320 + 112 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1976158116 + 343954116 = 44454^2 + 18546^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2320112233) 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, 2271882 + ... + 2272902.

Almost surely, 22320112232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233679540).

2320112232 is an abundant number, since it is smaller than the sum of its proper divisors (4147246848).

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

2320112232 is a wasteful number, since it uses less digits than its factorization.

2320112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2320112232 is about 48167.5433461164. The cubic root of 2320112232 is about 1323.8425362581.

Adding to 2320112232 its reverse (2322110232), we get a palindrome (4642222464).

The spelling of 2320112232 in words is "two billion, three hundred twenty million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 853 888 1021 1332 1706 2042 2559 2664 3063 3412 4084 5118 6126 6824 7677 8168 9189 10236 12252 15354 18378 20472 24504 30708 31561 36756 37777 61416 63122 73512 75554 94683 113331 126244 151108 189366 226662 252488 284049 302216 339993 378732 453324 568098 679986 757464 870913 906648 1136196 1359972 1741826 2272392 2612739 2719944 3483652 5225478 6967304 7838217 10450956 15676434 20901912 31352868 32223781 62705736 64447562 96671343 128895124 193342686 257790248 290014029 386685372 580028058 773370744 1160056116 2320112232