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232243323040 = 25519315834751
BaseRepresentation
bin1101100001001011000…
…1111110000010100000
3211012110102210012120001
43120102301332002200
512301113242314130
6254405140225344
722531130450161
oct3302261760240
9735412705501
10232243323040
118a548335013
123901599b254
1318b923a3b51
14b352443768
156093ec66ca
hex3612c7e0a0

232243323040 has 96 divisors (see below), whose sum is σ = 551982283776. Its totient is φ = 92338176000.

The previous prime is 232243322999. The next prime is 232243323043. The reversal of 232243323040 is 40323342232.

It is a super-2 number, since 2×2322433230402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232243323043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48880665 + ... + 48885415.

It is an arithmetic number, because the mean of its divisors is an integer number (5749815456).

Almost surely, 2232243323040 is an apocalyptic number.

232243323040 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 232243323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275991141888).

232243323040 is an abundant number, since it is smaller than the sum of its proper divisors (319738960736).

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

232243323040 is a wasteful number, since it uses less digits than its factorization.

232243323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 232243323040 its reverse (40323342232), we get a palindrome (272566665272).

The spelling of 232243323040 in words is "two hundred thirty-two billion, two hundred forty-three million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1583 1930 3088 3166 3860 4751 6176 6332 7720 7915 9502 12664 15440 15830 19004 23755 25328 30880 31660 38008 47510 50656 63320 76016 95020 126640 152032 190040 253280 305519 380080 611038 760160 916943 1222076 1527595 1833886 2444152 3055190 3667772 4584715 4888304 6110380 7335544 7520833 9169430 9776608 12220760 14671088 15041666 18338860 24441520 29342176 30083332 36677720 37604165 48883040 60166664 73355440 75208330 120333328 146710880 150416660 240666656 300833320 601666640 1203333280 1451520769 2903041538 5806083076 7257603845 11612166152 14515207690 23224332304 29030415380 46448664608 58060830760 116121661520 232243323040