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226143927360 = 263251345713217
BaseRepresentation
bin1101001010011100111…
…0100111110001000000
3210121201100200210122100
43102213032213301000
512201120321133420
6251520013110400
722224025444401
oct3224716476100
9717640623570
10226143927360
11879a839583a
12379b3188400
131842c846690
14ad3435d9a8
155d387a8190
hex34a73a7c40

226143927360 has 336 divisors, whose sum is σ = 839571301296. Its totient is φ = 55540187136.

The previous prime is 226143927349. The next prime is 226143927377. The reversal of 226143927360 is 63729341622.

226143927360 is a `hidden beast` number, since 2 + 2 + 614 + 3 + 9 + 27 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2694855744 + 223449071616 = 51912^2 + 472704^2 .

It is a super-2 number, since 2×2261439273602 (a number of 24 digits) contains 22 as substring.

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

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, 17103472 + ... + 17116688.

It is an arithmetic number, because the mean of its divisors is an integer number (2498724111).

Almost surely, 2226143927360 is an apocalyptic number.

226143927360 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 226143927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419785650648).

226143927360 is an abundant number, since it is smaller than the sum of its proper divisors (613427373936).

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

226143927360 is a wasteful number, since it uses less digits than its factorization.

226143927360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13710 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 226143927360 in words is "two hundred twenty-six billion, one hundred forty-three million, nine hundred twenty-seven thousand, three hundred sixty".