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226782036 = 223213484577
BaseRepresentation
bin11011000010001…
…10101101010100
3120210201201110200
431201012231110
5431024011121
634300420500
75422421055
oct1541065524
9523651420
10226782036
11107015778
1263b47730
1337ca3670
142219472c
1514d99a26
hexd846b54

226782036 has 36 divisors (see below), whose sum is σ = 617352372. Its totient is φ = 69778944.

The previous prime is 226782011. The next prime is 226782037. The reversal of 226782036 is 630287622.

It can be written as a sum of positive squares in 2 ways, for example, as 89189136 + 137592900 = 9444^2 + 11730^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226782037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241821 + ... + 242756.

It is an arithmetic number, because the mean of its divisors is an integer number (17148677).

Almost surely, 2226782036 is an apocalyptic number.

226782036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

226782036 is an abundant number, since it is smaller than the sum of its proper divisors (390570336).

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

226782036 is a wasteful number, since it uses less digits than its factorization.

226782036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484600 (or 484595 counting only the distinct ones).

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

The square root of 226782036 is about 15059.2840467268. The cubic root of 226782036 is about 609.8217126548.

The spelling of 226782036 in words is "two hundred twenty-six million, seven hundred eighty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 484577 969154 1453731 1938308 2907462 4361193 5814924 6299501 8722386 12599002 17444772 18898503 25198004 37797006 56695509 75594012 113391018 226782036