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226426420 = 225111922851
BaseRepresentation
bin11010111111011…
…11111000110100
3120210001122122201
431133233320310
5430431121140
634245034244
75416410223
oct1537577064
9523048581
10226426420
111068a2580
12639b5984
1337baa83c
1422100cba
1514d2949a
hexd7efe34

226426420 has 72 divisors (see below), whose sum is σ = 547652448. Its totient is φ = 77976000.

The previous prime is 226426411. The next prime is 226426423. The reversal of 226426420 is 24624622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226426423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77995 + ... + 80845.

It is an arithmetic number, because the mean of its divisors is an integer number (7606284).

Almost surely, 2226426420 is an apocalyptic number.

226426420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226426420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273826224).

226426420 is an abundant number, since it is smaller than the sum of its proper divisors (321226028).

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

226426420 is a wasteful number, since it uses less digits than its factorization.

226426420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 226426420 is about 15047.4722129665. The cubic root of 226426420 is about 609.5027929048.

The spelling of 226426420 in words is "two hundred twenty-six million, four hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1444 1805 2090 2851 3610 3971 4180 5702 7220 7942 11404 14255 15884 19855 28510 31361 39710 54169 57020 62722 79420 108338 125444 156805 216676 270845 313610 541690 595859 627220 1029211 1083380 1191718 2058422 2383436 2979295 4116844 5146055 5958590 10292110 11321321 11917180 20584220 22642642 45285284 56606605 113213210 226426420