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232353313432240 = 245721113414502129
BaseRepresentation
bin110100110101001011111000…
…101101011010001010110000
31010110200202111220201122221011
4310311023320231122022300
5220423334041214312430
62142101345534440304
766640654466105500
oct6465137055321260
91113622456648834
10232353313432240
1168042539aa3190
1222087766663094
139c85a92136cb0
144153d633a7a00
151bce099c0222a
hexd352f8b5a2b0

232353313432240 has 240 divisors, whose sum is σ = 738284665819680. Its totient is φ = 66850903203840.

The previous prime is 232353313432237. The next prime is 232353313432249. The reversal of 232353313432240 is 42234313353232.

232353313432240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2323533134322402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 232353313432193 and 232353313432202.

It is not an unprimeable number, because it can be changed into a prime (232353313432249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206690505 + ... + 207811624.

It is an arithmetic number, because the mean of its divisors is an integer number (3076186107582).

Almost surely, 2232353313432240 is an apocalyptic number.

232353313432240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232353313432240 is an abundant number, since it is smaller than the sum of its proper divisors (505931352387440).

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

232353313432240 is a wasteful number, since it uses less digits than its factorization.

232353313432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414502180 (or 414502167 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 40.

Adding to 232353313432240 its reverse (42234313353232), we get a palindrome (274587626785472).

The spelling of 232353313432240 in words is "two hundred thirty-two trillion, three hundred fifty-three billion, three hundred thirteen million, four hundred thirty-two thousand, two hundred forty".