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232112124240 = 24351193381047
BaseRepresentation
bin1101100000101011110…
…1011111000101010000
3211012010021220121122020
43120022331133011100
512300331200433430
6254344132211440
722524645334323
oct3301275370520
9735107817566
10232112124240
118a490274457
1238b99a69b80
1318b71158819
14b33cc507ba
15608770cb10
hex360af5f150

232112124240 has 80 divisors (see below), whose sum is σ = 719616763008. Its totient is φ = 61890615808.

The previous prime is 232112124197. The next prime is 232112124241. The reversal of 232112124240 is 42421211232.

232112124240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232112124240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232112124241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2823397 + ... + 2904443.

Almost surely, 2232112124240 is an apocalyptic number.

232112124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232112124240 is an abundant number, since it is smaller than the sum of its proper divisors (487504638768).

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

232112124240 is a wasteful number, since it uses less digits than its factorization.

232112124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92996 (or 92990 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 232112124240 its reverse (42421211232), we get a palindrome (274533335472).

The spelling of 232112124240 in words is "two hundred thirty-two billion, one hundred twelve million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11933 23866 35799 47732 59665 71598 81047 95464 119330 143196 162094 178995 190928 238660 243141 286392 324188 357990 405235 477320 486282 572784 648376 715980 810470 954640 972564 1215705 1296752 1431960 1620940 1945128 2431410 2863920 3241880 3890256 4862820 6483760 9725640 19451280 967133851 1934267702 2901401553 3868535404 4835669255 5802803106 7737070808 9671338510 11605606212 14507007765 15474141616 19342677020 23211212424 29014015530 38685354040 46422424848 58028031060 77370708080 116056062120 232112124240