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234253574520 = 233573171126703
BaseRepresentation
bin1101101000101010011…
…0011110000101111000
3211101122112102120011120
43122022212132011320
512314222403341040
6255340431025240
722632010346520
oct3321246360570
9741575376146
10234253574520
119038a043779
123949706b220
13191229ca374
14b4a340a680
1561607117d0
hex368a99e178

234253574520 has 256 divisors, whose sum is σ = 840746926080. Its totient is φ = 51086246400.

The previous prime is 234253574507. The next prime is 234253574573. The reversal of 234253574520 is 25475352432.

234253574520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1785489 + ... + 1912191.

It is an arithmetic number, because the mean of its divisors is an integer number (3284167680).

Almost surely, 2234253574520 is an apocalyptic number.

234253574520 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 234253574520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420373463040).

234253574520 is an abundant number, since it is smaller than the sum of its proper divisors (606493351560).

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

234253574520 is a wasteful number, since it uses less digits than its factorization.

234253574520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126826 (or 126822 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 42.

The spelling of 234253574520 in words is "two hundred thirty-four billion, two hundred fifty-three million, five hundred seventy-four thousand, five hundred twenty".