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226261764 = 22322321092
BaseRepresentation
bin11010111110001…
…11101100000100
3120202202021210100
431133013230010
5430410334024
634241324100
75415123201
oct1537075404
9522667710
10226261764
1110679a8a3
1263936630
1337b50901
142209aca8
1514ce57c9
hexd7c7b04

226261764 has 81 divisors (see below), whose sum is σ = 603423093. Its totient is φ = 71479584.

The previous prime is 226261757. The next prime is 226261769. The reversal of 226261764 is 467162622.

The square root of 226261764 is 15042.

It is a perfect power (a square), and thus also a powerful number.

226261764 is a `hidden beast` number, since 22 + 626 + 1 + 7 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157703364 + 68558400 = 12558^2 + 8280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226261769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2075742 + ... + 2075850.

Almost surely, 2226261764 is an apocalyptic number.

226261764 is the 15042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226261764

226261764 is an abundant number, since it is smaller than the sum of its proper divisors (377161329).

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

226261764 is a wasteful number, since it uses less digits than its factorization.

226261764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The cubic root of 226261764 is about 609.3550147607.

Multiplying 226261764 by its sum of digits (36), we get a square (8145423504 = 902522).

226261764 divided by its sum of digits (36) gives a square (6285049 = 25072).

The spelling of 226261764 in words is "two hundred twenty-six million, two hundred sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 109 138 207 218 276 327 414 436 529 654 828 981 1058 1308 1587 1962 2116 2507 3174 3924 4761 5014 6348 7521 9522 10028 11881 15042 19044 22563 23762 30084 35643 45126 47524 57661 71286 90252 106929 115322 142572 172983 213858 230644 273263 345966 427716 518949 546526 691932 819789 1037898 1093052 1639578 2075796 2459367 3279156 4918734 6285049 9837468 12570098 18855147 25140196 37710294 56565441 75420588 113130882 226261764