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241681856220 = 22365723741223
BaseRepresentation
bin1110000100010101011…
…1000111011011011100
3212002211020001101000000
43201011113013123130
512424431023344340
6303005504534300
723314046611500
oct3410527073334
9762736041000
10241681856220
119355111a762
123aa0a921390
1319a3796771c
14b9a9bb0300
156447928d30
hex38455c76dc

241681856220 has 1008 divisors, whose sum is σ = 935459981568. Its totient is φ = 52202465280.

The previous prime is 241681856189. The next prime is 241681856231. The reversal of 241681856220 is 22658186142.

241681856220 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 8 + 18 + 5 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1083775029 + ... + 1083775251.

It is an arithmetic number, because the mean of its divisors is an integer number (928035696).

Almost surely, 2241681856220 is an apocalyptic number.

241681856220 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 241681856220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467729990784).

241681856220 is an abundant number, since it is smaller than the sum of its proper divisors (693778125348).

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

241681856220 is a wasteful number, since it uses less digits than its factorization.

241681856220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

It can be divided in two parts, 241681 and 856220, that added together give a palindrome (1097901).

The spelling of 241681856220 in words is "two hundred forty-one billion, six hundred eighty-one million, eight hundred fifty-six thousand, two hundred twenty".