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226605792 = 2537267719
BaseRepresentation
bin11011000000110…
…11101011100000
3120210101202201010
431200123223200
5431002341132
634252540520
75421055200
oct1540335340
9523352633
10226605792
11106a05316
1263a81740
1337c4138a
142214a400
1514d626cc
hexd81bae0

226605792 has 144 divisors (see below), whose sum is σ = 703261440. Its totient is φ = 63689472.

The previous prime is 226605773. The next prime is 226605817. The reversal of 226605792 is 297506622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 226605792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314809 + ... + 315527.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2226605792 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 226605792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

226605792 is an abundant number, since it is smaller than the sum of its proper divisors (476655648).

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

226605792 is a wasteful number, since it uses less digits than its factorization.

226605792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 226605792 is about 15053.4312367646. The cubic root of 226605792 is about 609.6636970937.

The spelling of 226605792 in words is "two hundred twenty-six million, six hundred five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 67 84 96 98 112 134 147 168 196 201 224 268 294 336 392 402 469 536 588 672 719 784 804 938 1072 1176 1407 1438 1568 1608 1876 2144 2157 2352 2814 2876 3216 3283 3752 4314 4704 5033 5628 5752 6432 6566 7504 8628 9849 10066 11256 11504 13132 15008 15099 17256 19698 20132 22512 23008 26264 30198 34512 35231 39396 40264 45024 48173 52528 60396 69024 70462 78792 80528 96346 105056 105693 120792 140924 144519 157584 161056 192692 211386 241584 281848 289038 315168 337211 385384 422772 483168 563696 578076 674422 770768 845544 1011633 1127392 1156152 1348844 1541536 1691088 2023266 2312304 2360477 2697688 3382176 4046532 4624608 4720954 5395376 7081431 8093064 9441908 10790752 14162862 16186128 18883816 28325724 32372256 37767632 56651448 75535264 113302896 226605792