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234365055232 = 2871131421911
BaseRepresentation
bin1101101001000100111…
…1101111000100000000
3211101221022012100221211
43122101033233010000
512314434423231412
6255355452255504
722634533046260
oct3322117570400
9741838170854
10234365055232
1190436a668a0
1239508471594
131913cb30699
14b4b41497a0
15616a3d2ca7
hex36913ef100

234365055232 has 288 divisors, whose sum is σ = 604156428288. Its totient is φ = 88058880000.

The previous prime is 234365055227. The next prime is 234365055247. The reversal of 234365055232 is 232550563432.

It is a super-2 number, since 2×2343650552322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257260857 + ... + 257261767.

It is an arithmetic number, because the mean of its divisors is an integer number (2097765376).

Almost surely, 2234365055232 is an apocalyptic number.

234365055232 is a gapful number since it is divisible by the number (22) 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 234365055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302078214144).

234365055232 is an abundant number, since it is smaller than the sum of its proper divisors (369791373056).

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

234365055232 is a wasteful number, since it uses less digits than its factorization.

234365055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 234365055232 in words is "two hundred thirty-four billion, three hundred sixty-five million, fifty-five thousand, two hundred thirty-two".