Search a number
-
+
238081830336 = 2634724371307
BaseRepresentation
bin1101110110111011001…
…0000110110111000000
3211202112022222002220000
43131232302012313000
512400042422032321
6301212343520000
723125614111300
oct3355662066700
9752468862800
10238081830336
1191a73a93a59
123a185159000
13195b2b788ac
14b747a15600
1562d685e826
hex376ec86dc0

238081830336 has 840 divisors, whose sum is σ = 854672708736. Its totient is φ = 65292272640.

The previous prime is 238081830247. The next prime is 238081830341. The reversal of 238081830336 is 633038180832.

238081830336 is a `hidden beast` number, since 238 + 0 + 8 + 1 + 83 + 0 + 336 = 666.

It is a super-2 number, since 2×2380818303362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 238081830291 and 238081830300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 775510695 + ... + 775511001.

Almost surely, 2238081830336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238081830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427336354368).

238081830336 is an abundant number, since it is smaller than the sum of its proper divisors (616590878400).

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

238081830336 is a wasteful number, since it uses less digits than its factorization.

238081830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 238081830336 in words is "two hundred thirty-eight billion, eighty-one million, eight hundred thirty thousand, three hundred thirty-six".