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226400616 = 23331380627
BaseRepresentation
bin11010111111010…
…01100101101000
3120210000100021000
431133221211220
5430424304431
634244315000
75416242051
oct1537514550
9523010230
10226400616
11106885152
12639a2a60
1337b9bb80
14220d5728
1514d219e6
hexd7e9968

226400616 has 64 divisors (see below), whose sum is σ = 677275200. Its totient is φ = 69660864.

The previous prime is 226400609. The next prime is 226400623. The reversal of 226400616 is 616004622.

It is a happy number.

226400616 is a `hidden beast` number, since 2 + 2 + 6 + 40 + 0 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (226400609) and next prime (226400623).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 226400616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37506 + ... + 43121.

It is an arithmetic number, because the mean of its divisors is an integer number (10582425).

Almost surely, 2226400616 is an apocalyptic number.

226400616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

226400616 is an abundant number, since it is smaller than the sum of its proper divisors (450874584).

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

226400616 is a wasteful number, since it uses less digits than its factorization.

226400616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80655 (or 80645 counting only the distinct ones).

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

The square root of 226400616 is about 15046.6147687777. The cubic root of 226400616 is about 609.4796386464.

The spelling of 226400616 in words is "two hundred twenty-six million, four hundred thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 80627 161254 241881 322508 483762 645016 725643 967524 1048151 1451286 1935048 2096302 2176929 2902572 3144453 4192604 4353858 5805144 6288906 8385208 8707716 9433359 12577812 17415432 18866718 25155624 28300077 37733436 56600154 75466872 113200308 226400616