Search a number
-
+
234856355580 = 2235571117192967
BaseRepresentation
bin1101101010111010000…
…1111001011011111100
3211110012112200000100000
43122232201321123330
512321441211334310
6255520322434300
722652650040640
oct3325641713374
9743175600300
10234856355580
1190669321040
1239624b02990
13191ba85aa52
14b51d4b8c20
1561985cd4c0
hex36ae8796fc

234856355580 has 2304 divisors, whose sum is σ = 1077840691200. Its totient is φ = 41385738240.

The previous prime is 234856355579. The next prime is 234856355581. The reversal of 234856355580 is 85553658432.

It is a happy number.

234856355580 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 5 + 6 + 3 + 55 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (234856355579) and next prime (234856355581).

It is a super-3 number, since 3×2348563555803 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234856355581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3505318707 + ... + 3505318773.

It is an arithmetic number, because the mean of its divisors is an integer number (467812800).

Almost surely, 2234856355580 is an apocalyptic number.

234856355580 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 234856355580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538920345600).

234856355580 is an abundant number, since it is smaller than the sum of its proper divisors (842984335620).

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

234856355580 is a wasteful number, since it uses less digits than its factorization.

234856355580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 234856355580 in words is "two hundred thirty-four billion, eight hundred fifty-six million, three hundred fifty-five thousand, five hundred eighty".