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232245242442000 = 2433537695592767
BaseRepresentation
bin110100110011100111001111…
…001011010011000100010000
31010110022102120021002112111000
4310303213033023103010100
5220420101224031121000
62141535554054222000
766630110416620264
oct6463471713230420
91113272507075430
10232245242442000
1168000721812717
122206a825954900
139c7882b489ca8
14414ca304800a4
151bcb372148000
hexd339cf2d3110

232245242442000 has 320 divisors, whose sum is σ = 833036082278400. Its totient is φ = 61851517747200.

The previous prime is 232245242441969. The next prime is 232245242442013. The reversal of 232245242442000 is 244242542232.

232245242442000 is a `hidden beast` number, since 2 + 3 + 2 + 24 + 5 + 2 + 424 + 4 + 200 + 0 = 666.

It is a super-3 number, since 3×2322452424420003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 38729617 + ... + 44322383.

It is an arithmetic number, because the mean of its divisors is an integer number (2603237757120).

Almost surely, 2232245242442000 is an apocalyptic number.

232245242442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232245242442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416518041139200).

232245242442000 is an abundant number, since it is smaller than the sum of its proper divisors (600790839836400).

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

232245242442000 is a wasteful number, since it uses less digits than its factorization.

232245242442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593568 (or 5593546 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 232245242442000 its reverse (244242542232), we get a palindrome (232489484984232).

The spelling of 232245242442000 in words is "two hundred thirty-two trillion, two hundred forty-five billion, two hundred forty-two million, four hundred forty-two thousand".