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226400064 = 26311107197
BaseRepresentation
bin11010111111010…
…01011101000000
3120210000022111120
431133221131000
5430424300224
634244312240
75416240332
oct1537513500
9523008446
10226400064
111068847a0
12639a2680
1337b9b847
14220d5452
1514d21779
hexd7e9740

226400064 has 56 divisors (see below), whose sum is σ = 653479008. Its totient is φ = 68605440.

The previous prime is 226400021. The next prime is 226400089. The reversal of 226400064 is 460004622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51487 + ... + 55710.

It is an arithmetic number, because the mean of its divisors is an integer number (11669268).

Almost surely, 2226400064 is an apocalyptic number.

226400064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226400064 is an abundant number, since it is smaller than the sum of its proper divisors (427078944).

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

226400064 is a wasteful number, since it uses less digits than its factorization.

226400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107223 (or 107213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 226400064 is about 15046.5964257702. The cubic root of 226400064 is about 609.4791433105.

Adding to 226400064 its reverse (460004622), we get a palindrome (686404686).

The spelling of 226400064 in words is "two hundred twenty-six million, four hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 107197 214394 321591 428788 643182 857576 1179167 1286364 1715152 2358334 2572728 3430304 3537501 4716668 5145456 6860608 7075002 9433336 10290912 14150004 18866672 20581824 28300008 37733344 56600016 75466688 113200032 226400064