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226539181440 = 27325113132273
BaseRepresentation
bin1101001011111011001…
…0011001010110000000
3210122201220102210022100
43102332302121112000
512202423012301230
6252023132510400
722236565161555
oct3227662312600
9718656383270
10226539181440
118809050a000
1237aa361b400
13184936b5a30
14ad70a4aa2c
155d5d330660
hex34bec99580

226539181440 has 768 divisors, whose sum is σ = 927031210560. Its totient is φ = 50671779840.

The previous prime is 226539181439. The next prime is 226539181441. The reversal of 226539181440 is 44181935622.

226539181440 is a `hidden beast` number, since 2 + 26 + 5 + 3 + 9 + 181 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (226539181439) and next prime (226539181441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226539181441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99664144 + ... + 99666416.

Almost surely, 2226539181440 is an apocalyptic number.

226539181440 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 226539181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463515605280).

226539181440 is an abundant number, since it is smaller than the sum of its proper divisors (700492029120).

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

226539181440 is a wasteful number, since it uses less digits than its factorization.

226539181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 226539181440 in words is "two hundred twenty-six billion, five hundred thirty-nine million, one hundred eighty-one thousand, four hundred forty".