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226040616 = 23322923733
BaseRepresentation
bin11010111100100…
…01101100101000
3120202100001102200
431132101230220
5430331244431
634232500200
75413212354
oct1536215450
9522301380
10226040616
1110665972a
126384a660
1337aa4059
1422040464
1514c9eee6
hexd791b28

226040616 has 72 divisors (see below), whose sum is σ = 634201230. Its totient is φ = 72729216.

The previous prime is 226040597. The next prime is 226040621. The reversal of 226040616 is 616040622.

It is a happy number.

226040616 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 40 + 616 = 666.

226040616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 200335716 + 25704900 = 14154^2 + 5070^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 226040616.

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, 58686 + ... + 62418.

Almost surely, 2226040616 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 226040616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317100615).

226040616 is an abundant number, since it is smaller than the sum of its proper divisors (408160614).

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

226040616 is a wasteful number, since it uses less digits than its factorization.

226040616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226040616 is about 15034.6471857507. The cubic root of 226040616 is about 609.1564224043.

The spelling of 226040616 in words is "two hundred twenty-six million, forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 841 1044 1682 2088 2523 3364 3733 5046 6728 7466 7569 10092 11199 14932 15138 20184 22398 29864 30276 33597 44796 60552 67194 89592 108257 134388 216514 268776 324771 433028 649542 866056 974313 1299084 1948626 2598168 3139453 3897252 6278906 7794504 9418359 12557812 18836718 25115624 28255077 37673436 56510154 75346872 113020308 226040616