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233321217012 = 223413891673727
BaseRepresentation
bin1101100101001100000…
…1110011101111110100
3211022020120000220010000
43121103001303233310
512310320212421022
6255104123231300
722566626423202
oct3312301635764
9738216026100
10233321217012
118aa50820784
1239276978530
13190047b4930
14b41566a072
1561089426ac
hex3653073bf4

233321217012 has 240 divisors, whose sum is σ = 668404154880. Its totient is φ = 70540512768.

The previous prime is 233321216903. The next prime is 233321217029. The reversal of 233321217012 is 210712123332.

It is a super-3 number, since 3×2333212170123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62601093 + ... + 62604819.

It is an arithmetic number, because the mean of its divisors is an integer number (2785017312).

Almost surely, 2233321217012 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 233321217012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334202077440).

233321217012 is an abundant number, since it is smaller than the sum of its proper divisors (435082937868).

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

233321217012 is a wasteful number, since it uses less digits than its factorization.

233321217012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 233321217012 in words is "two hundred thirty-three billion, three hundred twenty-one million, two hundred seventeen thousand, twelve".