Search a number
-
+
234271098880 = 2115713283233
BaseRepresentation
bin1101101000101110100…
…1010100100000000000
3211101200202101220001221
43122023221110200000
512314241400131010
6255342254404424
722632312325120
oct3321351244000
9741622356057
10234271098880
1190398a23015
12394a0b00714
1319126524a00
14b4a588cc80
156162023dda
hex368ba54800

234271098880 has 576 divisors, whose sum is σ = 707035754880. Its totient is φ = 72935276544.

The previous prime is 234271098863. The next prime is 234271098911. The reversal of 234271098880 is 88890172432.

It is a happy number.

234271098880 is digitally balanced in base 3, 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 (52).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005455244 + ... + 1005455476.

It is an arithmetic number, because the mean of its divisors is an integer number (1227492630).

Almost surely, 2234271098880 is an apocalyptic number.

234271098880 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 234271098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353517877440).

234271098880 is an abundant number, since it is smaller than the sum of its proper divisors (472764656000).

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

234271098880 is a wasteful number, since it uses less digits than its factorization.

234271098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 234271098880 in words is "two hundred thirty-four billion, two hundred seventy-one million, ninety-eight thousand, eight hundred eighty".