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226166616 = 233213218587
BaseRepresentation
bin11010111101100…
…00011101011000
3120202120110021100
431132300131120
5430344312431
634235311400
75414245614
oct1536603530
9522513240
10226166616
11106735365
12638ab560
1337b19500
1422074344
1514cc74e6
hexd7b0758

226166616 has 72 divisors (see below), whose sum is σ = 663312780. Its totient is φ = 69585984.

The previous prime is 226166609. The next prime is 226166663. The reversal of 226166616 is 616661622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2875 + ... + 21461.

Almost surely, 2226166616 is an apocalyptic number.

226166616 is a gapful number since it is divisible by the number (26) 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 226166616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331656390).

226166616 is an abundant number, since it is smaller than the sum of its proper divisors (437146164).

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

226166616 is a wasteful number, since it uses less digits than its factorization.

226166616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18625 (or 18605 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 226166616 is about 15038.8369231134. The cubic root of 226166616 is about 609.2695870995.

The spelling of 226166616 in words is "two hundred twenty-six million, one hundred sixty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 18587 37174 55761 74348 111522 148696 167283 223044 241631 334566 446088 483262 669132 724893 966524 1338264 1449786 1933048 2174679 2899572 3141203 4349358 5799144 6282406 8698716 9423609 12564812 17397432 18847218 25129624 28270827 37694436 56541654 75388872 113083308 226166616