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233332233420 = 2235111328196779
BaseRepresentation
bin1101100101001110101…
…1110101010011001100
3211022021022202120210010
43121103223311103030
512310331022432140
6255105155313220
722600122155046
oct3312353652314
9738238676703
10233332233420
118aa56a65550
123927a5ab810
1319006b71010
14b416cd6a96
1561098bb880
hex3653af54cc

233332233420 has 192 divisors, whose sum is σ = 770288279040. Its totient is φ = 52027852800.

The previous prime is 233332233419. The next prime is 233332233443. The reversal of 233332233420 is 24332233332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2362591 + ... + 2459369.

It is an arithmetic number, because the mean of its divisors is an integer number (4011918120).

Almost surely, 2233332233420 is an apocalyptic number.

233332233420 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 233332233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385144139520).

233332233420 is an abundant number, since it is smaller than the sum of its proper divisors (536956045620).

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

233332233420 is a wasteful number, since it uses less digits than its factorization.

233332233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97096 (or 97094 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

Adding to 233332233420 its reverse (24332233332), we get a palindrome (257664466752).

The spelling of 233332233420 in words is "two hundred thirty-three billion, three hundred thirty-two million, two hundred thirty-three thousand, four hundred twenty".