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226172736 = 263514543
BaseRepresentation
bin11010111101100…
…01111101000000
3120202120202200000
431132301331000
5430400011421
634235400000
75414302506
oct1536617500
9522522600
10226172736
11106739a19
12638b3000
1337b1c22a
1422076676
1514cc9226
hexd7b1f40

226172736 has 84 divisors (see below), whose sum is σ = 672340032. Its totient is φ = 75385728.

The previous prime is 226172729. The next prime is 226172741. The reversal of 226172736 is 637271622.

It is a happy number.

226172736 is a `hidden beast` number, since 2 + 2 + 617 + 2 + 7 + 36 = 666.

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 226172736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8281 + ... + 22823.

It is an arithmetic number, because the mean of its divisors is an integer number (8004048).

Almost surely, 2226172736 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 226172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336170016).

226172736 is an abundant number, since it is smaller than the sum of its proper divisors (446167296).

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

226172736 is an equidigital number, since it uses as much as digits as its factorization.

226172736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14570 (or 14548 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 226172736 is about 15039.0403949188. The cubic root of 226172736 is about 609.2750826000.

The spelling of 226172736 in words is "two hundred twenty-six million, one hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 14543 15552 29086 43629 58172 87258 116344 130887 174516 232688 261774 349032 392661 465376 523548 698064 785322 930752 1047096 1177983 1396128 1570644 2094192 2355966 2792256 3141288 3533949 4188384 4711932 6282576 7067898 8376768 9423864 12565152 14135796 18847728 25130304 28271592 37695456 56543184 75390912 113086368 226172736