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232045432640 = 2657103591711
BaseRepresentation
bin1101100000011011111…
…1000100111101000000
3211011221122102022221222
43120012333010331000
512300212112321030
6254333350534212
722523205430220
oct3300677047500
9734848368858
10232045432640
118a45666302a
1238b7b667368
1318b603a7b38
14b334050080
1560819373e5
hex3606fc4f40

232045432640 has 56 divisors (see below), whose sum is σ = 631495076352. Its totient is φ = 79558433280.

The previous prime is 232045432583. The next prime is 232045432643. The reversal of 232045432640 is 46234540232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 232045432640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232045432643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51793616 + ... + 51798095.

It is an arithmetic number, because the mean of its divisors is an integer number (11276697792).

Almost surely, 2232045432640 is an apocalyptic number.

232045432640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232045432640 is an abundant number, since it is smaller than the sum of its proper divisors (399449643712).

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

232045432640 is a wasteful number, since it uses less digits than its factorization.

232045432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103591735 (or 103591725 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 232045432640 its reverse (46234540232), we get a palindrome (278279972872).

The spelling of 232045432640 in words is "two hundred thirty-two billion, forty-five million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 103591711 207183422 414366844 517958555 725141977 828733688 1035917110 1450283954 1657467376 2071834220 2900567908 3314934752 3625709885 4143668440 5801135816 6629869504 7251419770 8287336880 11602271632 14502839540 16574673760 23204543264 29005679080 33149347520 46409086528 58011358160 116022716320 232045432640