Search a number
-
+
226361700160 = 26571139229313
BaseRepresentation
bin1101001011010000110…
…1010110111101000000
3210122021112110210202121
43102310031112331000
512202042043401120
6251553352454024
722232311463461
oct3226415267500
9718245423677
10226361700160
1187aaa307762
1237a540aa314
13184659b441b
14ad5524ad68
155d4c9735aa
hex34b4356f40

226361700160 has 224 divisors, whose sum is σ = 554718931200. Its totient is φ = 87958241280.

The previous prime is 226361700139. The next prime is 226361700203. The reversal of 226361700160 is 61007163622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723200164 + ... + 723200476.

It is an arithmetic number, because the mean of its divisors is an integer number (2476423800).

Almost surely, 2226361700160 is an apocalyptic number.

226361700160 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 226361700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277359465600).

226361700160 is an abundant number, since it is smaller than the sum of its proper divisors (328357231040).

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

226361700160 is a wasteful number, since it uses less digits than its factorization.

226361700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 226361700160 its reverse (61007163622), we get a palindrome (287368863782).

The spelling of 226361700160 in words is "two hundred twenty-six billion, three hundred sixty-one million, seven hundred thousand, one hundred sixty".