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230030212033440 = 25335713881664177
BaseRepresentation
bin110100010011011000010101…
…000100110110101110100000
31010011110200011222121010122000
4310103120111010312232200
5220122303333240032230
62133122230501244000
766311064044036130
oct6423302504665640
91104420158533560
10230030212033440
11673272a08aa285
1221971490703600
139b479a99a17a0
1440b3743650ac0
151b8d9313c6b60
hexd13615136ba0

230030212033440 has 768 divisors, whose sum is σ = 992025612426240. Its totient is φ = 48478684446720.

The previous prime is 230030212033429. The next prime is 230030212033463. The reversal of 230030212033440 is 44330212030032.

230030212033440 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 3 + 0 + 212 + 0 + 3 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346006632 + ... + 346670808.

It is an arithmetic number, because the mean of its divisors is an integer number (1291700016180).

Almost surely, 2230030212033440 is an apocalyptic number.

230030212033440 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 230030212033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496012806213120).

230030212033440 is an abundant number, since it is smaller than the sum of its proper divisors (761995400392800).

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

230030212033440 is a wasteful number, since it uses less digits than its factorization.

230030212033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665102 (or 665088 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 230030212033440 its reverse (44330212030032), we get a palindrome (274360424063472).

The spelling of 230030212033440 in words is "two hundred thirty trillion, thirty billion, two hundred twelve million, thirty-three thousand, four hundred forty".