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230456215440 = 243251153549019
BaseRepresentation
bin1101011010100001000…
…0101100011110010000
3211000211220000201210200
43112220100230132100
512233433242343230
6253511540255200
722435630340013
oct3265020543620
9730756021720
10230456215440
1189810586690
12387b73a1500
1318969079029
14b222d6537a
155edc168160
hex35a842c790

230456215440 has 240 divisors, whose sum is σ = 860239673280. Its totient is φ = 54813957120.

The previous prime is 230456215349. The next prime is 230456215459. The reversal of 230456215440 is 44512654032.

230456215440 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 562 + 1 + 54 + 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 2×2304562154402 (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 = 230456215395 and 230456215404.

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, 145251 + ... + 694269.

It is an arithmetic number, because the mean of its divisors is an integer number (3584331972).

Almost surely, 2230456215440 is an apocalyptic number.

230456215440 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 230456215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430119836640).

230456215440 is an abundant number, since it is smaller than the sum of its proper divisors (629783457840).

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

230456215440 is a wasteful number, since it uses less digits than its factorization.

230456215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549102 (or 549093 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 230456215440 its reverse (44512654032), we get a palindrome (274968869472).

The spelling of 230456215440 in words is "two hundred thirty billion, four hundred fifty-six million, two hundred fifteen thousand, four hundred forty".