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226673903088 = 2435535472011
BaseRepresentation
bin1101001100011011010…
…0010100010111110000
3210200002021221100200000
43103012310110113300
512203212004344323
6252044344230000
722243122246213
oct3230664242760
9720067840600
10226673903088
118814a566406
1237b2076b300
13184b5595699
14ad848b977a
155d6a092e43
hex34c6d145f0

226673903088 has 240 divisors, whose sum is σ = 671839249536. Its totient is φ = 73960024320.

The previous prime is 226673903081. The next prime is 226673903107. The reversal of 226673903088 is 880309376622.

It is a happy number.

226673903088 is a `hidden beast` number, since 2 + 266 + 73 + 9 + 0 + 308 + 8 = 666.

It is a super-2 number, since 2×2266739030882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226673903081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112716003 + ... + 112718013.

Almost surely, 2226673903088 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 226673903088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335919624768).

226673903088 is an abundant number, since it is smaller than the sum of its proper divisors (445165346448).

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

226673903088 is a wasteful number, since it uses less digits than its factorization.

226673903088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 226673903088 in words is "two hundred twenty-six billion, six hundred seventy-three million, nine hundred three thousand, eighty-eight".