Search a number
-
+
226626070320 = 24345132992767
BaseRepresentation
bin1101001100001111110…
…1110110011100110000
3210122221221221012110000
43103003331312130300
512203112233222240
6252035515110000
722242001546116
oct3230375663460
9718857835400
10226626070320
11881255659a1
1237b08742300
13184a86b8880
14ad7c3c7ab6
155d65c95430
hex34c3f76730

226626070320 has 400 divisors, whose sum is σ = 876891375360. Its totient is φ = 53860681728.

The previous prime is 226626070313. The next prime is 226626070327. The reversal of 226626070320 is 23070626622.

226626070320 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 260 + 70 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (226626070313) and next prime (226626070327).

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

It is not an unprimeable number, because it can be changed into a prime (226626070327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2396577 + ... + 2489343.

Almost surely, 2226626070320 is an apocalyptic number.

226626070320 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 226626070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438445687680).

226626070320 is an abundant number, since it is smaller than the sum of its proper divisors (650265305040).

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

226626070320 is a wasteful number, since it uses less digits than its factorization.

226626070320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92834 (or 92819 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 226626070320 its reverse (23070626622), we get a palindrome (249696696942).

The spelling of 226626070320 in words is "two hundred twenty-six billion, six hundred twenty-six million, seventy thousand, three hundred twenty".