Search a number
-
+
226095681540960 = 2532571123419457463
BaseRepresentation
bin110011011010001000000000…
…110010001001001101100000
31002122112112110210100000020200
4303122020000302021031200
5214113322423433302320
62120510531110105200
765423605521462540
oct6332100062111540
91078475423300220
10226095681540960
116604a704a22720
1221436a3634b200
13992096782ba1a
143db9137361320
151b21402e19290
hexcda200c89360

226095681540960 has 2304 divisors, whose sum is σ = 1010532710154240. Its totient is φ = 44636306964480.

The previous prime is 226095681540959. The next prime is 226095681540997. The reversal of 226095681540960 is 69045186590622.

It is a happy number.

226095681540960 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 9 + 5 + 6 + 81 + 540 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×2260956815409602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 488327605689 + ... + 488327606151.

It is an arithmetic number, because the mean of its divisors is an integer number (438599266560).

Almost surely, 2226095681540960 is an apocalyptic number.

226095681540960 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 226095681540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505266355077120).

226095681540960 is an abundant number, since it is smaller than the sum of its proper divisors (784437028613280).

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

226095681540960 is a wasteful number, since it uses less digits than its factorization.

226095681540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 226095681540960 in words is "two hundred twenty-six trillion, ninety-five billion, six hundred eighty-one million, five hundred forty thousand, nine hundred sixty".