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226318356 = 223211751761
BaseRepresentation
bin11010111110101…
…01100000010100
3120202212011102100
431133111200110
5430414141411
634242442100
75415450165
oct1537254024
9522764370
10226318356
11106829370
1263963330
1337b705b4
14220b376c
1514d07456
hexd7d5814

226318356 has 72 divisors (see below), whose sum is σ = 625742208. Its totient is φ = 68400000.

The previous prime is 226318343. The next prime is 226318361. The reversal of 226318356 is 653813622.

It is a happy number.

226318356 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 226318356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297016 + ... + 297776.

It is an arithmetic number, because the mean of its divisors is an integer number (8690864).

Almost surely, 2226318356 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 226318356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312871104).

226318356 is an abundant number, since it is smaller than the sum of its proper divisors (399423852).

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

226318356 is a wasteful number, since it uses less digits than its factorization.

226318356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1528 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 226318356 is about 15043.8810152168. The cubic root of 226318356 is about 609.4058139527.

The spelling of 226318356 in words is "two hundred twenty-six million, three hundred eighteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 751 761 1502 1522 2253 2283 3004 3044 4506 4566 6759 6849 8261 8371 9012 9132 13518 13698 16522 16742 24783 25113 27036 27396 33044 33484 49566 50226 74349 75339 99132 100452 148698 150678 297396 301356 571511 1143022 1714533 2286044 3429066 5143599 6286621 6858132 10287198 12573242 18859863 20574396 25146484 37719726 56579589 75439452 113159178 226318356