Search a number
-
+
231422129282880 = 26345196173105527
BaseRepresentation
bin110100100111101000101001…
…110011110001111101000000
31010100101201222002110122210000
4310213220221303301331000
5220313110010044023010
62140105505234440000
766513461046325554
oct6447505163617500
91110351862418700
10231422129282880
11678136348aa428
1221b571aaa33000
139c19022b81203
144120c685b1864
151bb4c49b427c0
hexd27a29cf1f40

231422129282880 has 1120 divisors, whose sum is σ = 892814950114560. Its totient is φ = 56717810565120.

The previous prime is 231422129282867. The next prime is 231422129282891. The reversal of 231422129282880 is 88282921224132.

231422129282880 is a `hidden beast` number, since 2 + 3 + 142 + 212 + 9 + 2 + 8 + 288 + 0 = 666.

231422129282880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2314221292828802 (a number of 30 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2192960677 + ... + 2193066203.

Almost surely, 2231422129282880 is an apocalyptic number.

231422129282880 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 231422129282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446407475057280).

231422129282880 is an abundant number, since it is smaller than the sum of its proper divisors (661392820831680).

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

231422129282880 is a wasteful number, since it uses less digits than its factorization.

231422129282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105709 (or 105690 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 231422129282880 in words is "two hundred thirty-one trillion, four hundred twenty-two billion, one hundred twenty-nine million, two hundred eighty-two thousand, eight hundred eighty".