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226421305236 = 22347217261809
BaseRepresentation
bin1101001011011111000…
…0101110111110010100
3210122102200122001120000
43102313300232332110
512202202323231421
6252003322211300
722233634224300
oct3226760567624
9718380561500
10226421305236
118802aa18955
1237a70053b30
13184751536b9
14ad5d124d00
155d52ce9226
hex34b7c2ef94

226421305236 has 540 divisors, whose sum is σ = 744343413660. Its totient is φ = 59814236160.

The previous prime is 226421305217. The next prime is 226421305241. The reversal of 226421305236 is 632503124622.

226421305236 is a `hidden beast` number, since 2 + 2 + 642 + 1 + 3 + 0 + 5 + 2 + 3 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9783188100 + 216638117136 = 98910^2 + 465444^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226421305236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 279877600 + ... + 279878408.

It is an arithmetic number, because the mean of its divisors is an integer number (1378413729).

Almost surely, 2226421305236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226421305236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372171706830).

226421305236 is an abundant number, since it is smaller than the sum of its proper divisors (517922108424).

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

226421305236 is a wasteful number, since it uses less digits than its factorization.

226421305236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 226421305236 its reverse (632503124622), we get a palindrome (858924429858).

The spelling of 226421305236 in words is "two hundred twenty-six billion, four hundred twenty-one million, three hundred five thousand, two hundred thirty-six".