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2322243132 = 2231129831627
BaseRepresentation
bin1000101001101010…
…1001111000111100
312222211201011200220
42022122221320330
514223443240012
61022233421340
7111355512066
oct21232517074
95884634626
102322243132
11a91933700
1254986a850
132b0162581
141805bc736
15d8d1708c
hex8a6a9e3c

2322243132 has 72 divisors (see below), whose sum is σ = 5965669248. Its totient is φ = 702562080.

The previous prime is 2322243109. The next prime is 2322243151. The reversal of 2322243132 is 2313422232.

2322243132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426503 + ... + 1428129.

Almost surely, 22322243132 is an apocalyptic number.

2322243132 is a gapful number since it is divisible by the number (22) 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 2322243132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982834624).

2322243132 is an abundant number, since it is smaller than the sum of its proper divisors (3643426116).

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

2322243132 is a wasteful number, since it uses less digits than its factorization.

2322243132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2626 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 2322243132 is about 48189.6579361174. The cubic root of 2322243132 is about 1324.2477052873.

Adding to 2322243132 its reverse (2313422232), we get a palindrome (4635665364).

Subtracting from 2322243132 its reverse (2313422232), we obtain a square (8820900 = 29702).

The spelling of 2322243132 in words is "two billion, three hundred twenty-two million, two hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 983 1452 1627 1966 2949 3254 3932 4881 5898 6508 9762 10813 11796 17897 19524 21626 32439 35794 43252 53691 64878 71588 107382 118943 129756 196867 214764 237886 356829 393734 475772 590601 713658 787468 1181202 1427316 1599341 2362404 3198682 4798023 6397364 9596046 17592751 19192092 35185502 52778253 70371004 105556506 193520261 211113012 387040522 580560783 774081044 1161121566 2322243132