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234657221040 = 243251173405869
BaseRepresentation
bin1101101010001010101…
…0010000100110110000
3211102200122221221002200
43122202222100212300
512321034222033130
6255444450343200
722645011316524
oct3324252204660
9742618857080
10234657221040
119057697a340
123958a28ab00
1319188517668
14b500c7dd84
156185d95760
hex36a2a909b0

234657221040 has 240 divisors, whose sum is σ = 871477570080. Its totient is φ = 56107192320.

The previous prime is 234657220999. The next prime is 234657221059. The reversal of 234657221040 is 40122756432.

234657221040 is a `hidden beast` number, since 2 + 3 + 46 + 572 + 2 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2346572210402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234657220986 and 234657221004.

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, 375226 + ... + 781094.

It is an arithmetic number, because the mean of its divisors is an integer number (3631156542).

Almost surely, 2234657221040 is an apocalyptic number.

234657221040 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 234657221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435738785040).

234657221040 is an abundant number, since it is smaller than the sum of its proper divisors (636820349040).

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

234657221040 is a wasteful number, since it uses less digits than its factorization.

234657221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405972 (or 405963 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 234657221040 its reverse (40122756432), we get a palindrome (274779977472).

The spelling of 234657221040 in words is "two hundred thirty-four billion, six hundred fifty-seven million, two hundred twenty-one thousand, forty".