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226271055360 = 29357217113313
BaseRepresentation
bin1101001010111011001…
…1100100111000000000
3210122001012220120110210
43102232303210320000
512201400342232420
6251540353554120
722230131144100
oct3225663447000
9718035816423
10226271055360
1187a631259a9
1237a29875940
131844cc97b4c
14ad471b3200
155d44a1a9e0
hex34aece4e00

226271055360 has 960 divisors, whose sum is σ = 901713840192. Its totient is φ = 48091889664.

The previous prime is 226271055359. The next prime is 226271055397. The reversal of 226271055360 is 63550172622.

It is a happy number.

226271055360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 722910564 + ... + 722910876.

Almost surely, 2226271055360 is an apocalyptic number.

226271055360 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 226271055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450856920096).

226271055360 is an abundant number, since it is smaller than the sum of its proper divisors (675442784832).

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

226271055360 is a wasteful number, since it uses less digits than its factorization.

226271055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 226271055360 in words is "two hundred twenty-six billion, two hundred seventy-one million, fifty-five thousand, three hundred sixty".