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233420450334232 = 23729216343370223
BaseRepresentation
bin110101000100101101101111…
…000001101000011000011000
31010121110202222112002002011211
4311010231233001220120120
5221043330040241143412
62144235512522032504
7100111033234106620
oct6504555701503030
91117422875062154
10233420450334232
1168414069a56247
122221a544648734
13a0325b9629b35
14418d878099880
151bebc05528ca7
hexd44b6f068618

233420450334232 has 192 divisors, whose sum is σ = 522418493076480. Its totient is φ = 95772147738624.

The previous prime is 233420450334217. The next prime is 233420450334233. The reversal of 233420450334232 is 232433054024332.

It is a super-2 number, since 2×2334204503342322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233420450334233) 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, 3323953473 + ... + 3324023695.

It is an arithmetic number, because the mean of its divisors is an integer number (2720929651440).

Almost surely, 2233420450334232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233420450334232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261209246538240).

233420450334232 is an abundant number, since it is smaller than the sum of its proper divisors (288998042742248).

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

233420450334232 is a wasteful number, since it uses less digits than its factorization.

233420450334232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70890 (or 70857 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 40.

The spelling of 233420450334232 in words is "two hundred thirty-three trillion, four hundred twenty billion, four hundred fifty million, three hundred thirty-four thousand, two hundred thirty-two".