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232973349680 = 2452912166871
BaseRepresentation
bin1101100011111001001…
…0110011001100110000
3211021100022110101211202
43120332102303030300
512304112134142210
6255005415230332
722555203540551
oct3307622631460
9737308411752
10232973349680
118a892422915
123919a3783a8
1318c7a6c7386
14b3c1396328
1560d812a9a5
hex363e4b3330

232973349680 has 20 divisors (see below), whose sum is σ = 541663038192. Its totient is φ = 93189339840.

The previous prime is 232973349607. The next prime is 232973349689. The reversal of 232973349680 is 86943379232.

It is a happy number.

232973349680 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 (20).

It is a super-2 number, since 2×2329733496802 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (232973349689) 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 3 ways as a sum of consecutive naturals, for example, 1456083356 + ... + 1456083515.

Almost surely, 2232973349680 is an apocalyptic number.

232973349680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232973349680 is an abundant number, since it is smaller than the sum of its proper divisors (308689688512).

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

232973349680 is a wasteful number, since it uses less digits than its factorization.

232973349680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912166884 (or 2912166878 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 56.

The spelling of 232973349680 in words is "two hundred thirty-two billion, nine hundred seventy-three million, three hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2912166871 5824333742 11648667484 14560834355 23297334968 29121668710 46594669936 58243337420 116486674840 232973349680