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233331224140 = 225710116501501
BaseRepresentation
bin1101100101001110011…
…1111110111001001100
3211022021020212022022101
43121103213332321030
512310330243133030
6255105121524444
722600110452410
oct3312347767114
9738236768271
10233331224140
118aa56436233
123927a1a3724
13190068a9801
14b416b12d40
15610976c7ca
hex36539fee4c

233331224140 has 48 divisors (see below), whose sum is σ = 565539476544. Its totient is φ = 79207200000.

The previous prime is 233331224129. The next prime is 233331224143. The reversal of 233331224140 is 41422133332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 233331224099 and 233331224108.

It is not an unprimeable number, because it can be changed into a prime (233331224143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8236611 + ... + 8264890.

It is an arithmetic number, because the mean of its divisors is an integer number (11782072428).

Almost surely, 2233331224140 is an apocalyptic number.

233331224140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233331224140 is an abundant number, since it is smaller than the sum of its proper divisors (332208252404).

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

233331224140 is a wasteful number, since it uses less digits than its factorization.

233331224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16501618 (or 16501616 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 233331224140 its reverse (41422133332), we get a palindrome (274753357472).

The spelling of 233331224140 in words is "two hundred thirty-three billion, three hundred thirty-one million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 16501501 33003002 66006004 82507505 115510507 165015010 231021014 330030020 462042028 577552535 1155105070 1666651601 2310210140 3333303202 6666606404 8333258005 11666561207 16666516010 23333122414 33333032020 46666244828 58332806035 116665612070 233331224140