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226315408 = 24114179397
BaseRepresentation
bin11010111110101…
…00110010010000
3120202212000101011
431133110302100
5430414043113
634242420304
75415435454
oct1537246220
9522760334
10226315408
11106827130
1263961694
1337b6c157
14220b2664
1514d0663d
hexd7d4c90

226315408 has 80 divisors (see below), whose sum is σ = 497468160. Its totient is φ = 98841600.

The previous prime is 226315399. The next prime is 226315409. The reversal of 226315408 is 804513622.

226315408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226315408.

It is not an unprimeable number, because it can be changed into a prime (226315409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569866 + ... + 570262.

It is an arithmetic number, because the mean of its divisors is an integer number (6218352).

Almost surely, 2226315408 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 226315408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248734080).

226315408 is an abundant number, since it is smaller than the sum of its proper divisors (271152752).

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

226315408 is a wasteful number, since it uses less digits than its factorization.

226315408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 226315408 is about 15043.7830348619. The cubic root of 226315408 is about 609.4031679217.

It can be divided in two parts, 2263 and 15408, that added together give a palindrome (17671).

The spelling of 226315408 in words is "two hundred twenty-six million, three hundred fifteen thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 41 44 79 82 88 158 164 176 316 328 397 451 632 656 794 869 902 1264 1588 1738 1804 3176 3239 3476 3608 4367 6352 6478 6952 7216 8734 12956 13904 16277 17468 25912 31363 32554 34936 35629 51824 62726 65108 69872 71258 125452 130216 142516 179047 250904 260432 285032 344993 358094 501808 570064 689986 716188 1285883 1379972 1432376 2571766 2759944 2864752 5143532 5519888 10287064 14144713 20574128 28289426 56578852 113157704 226315408