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233282916468 = 223272294042471
BaseRepresentation
bin1101100101000010111…
…1101101000001110100
3211022010212222000122100
43121100233231001310
512310230411311333
6255100234302100
722565653033620
oct3312057550164
9738125860570
10233282916468
118aa31140a38
1239265b87930
1318cc98947a4
14b41053a180
1561053c9213
hex3650bed074

233282916468 has 72 divisors (see below), whose sum is σ = 676871511680. Its totient is φ = 66361187520.

The previous prime is 233282916467. The next prime is 233282916533. The reversal of 233282916468 is 864619282332.

233282916468 is a `hidden beast` number, since 23 + 328 + 291 + 6 + 4 + 6 + 8 = 666.

233282916468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233282916467) 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 23 ways as a sum of consecutive naturals, for example, 1963528 + ... + 2078943.

Almost surely, 2233282916468 is an apocalyptic number.

233282916468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233282916468 is an abundant number, since it is smaller than the sum of its proper divisors (443588595212).

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

233282916468 is a wasteful number, since it uses less digits than its factorization.

233282916468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042717 (or 4042712 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 233282916468 in words is "two hundred thirty-three billion, two hundred eighty-two million, nine hundred sixteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1603 2061 2748 3206 4122 4809 6412 8244 9618 14427 19236 28854 57708 4042471 8084942 12127413 16169884 24254826 28297297 36382239 48509652 56594594 72764478 84891891 113189188 145528956 169783782 254675673 339567564 509351346 925725859 1018702692 1851451718 2777177577 3702903436 5554355154 6480081013 8331532731 11108710308 12960162026 16663065462 19440243039 25920324052 33326130924 38880486078 58320729117 77760972156 116641458234 233282916468