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269226048 = 26371319811
BaseRepresentation
bin10000000011000…
…001000001000000
3200202121002201010
4100003001001000
51022410213143
642414240520
76446245410
oct2003010100
9622532633
10269226048
11128a75573
12761b6140
1343a14770
1427a82640
1518980a33
hex100c1040

269226048 has 224 divisors, whose sum is σ = 923991040. Its totient is φ = 67184640.

The previous prime is 269226047. The next prime is 269226073. The reversal of 269226048 is 840622962.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 269225997 and 269226015.

It is not an unprimeable number, because it can be changed into a prime (269226047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331563 + ... + 332373.

It is an arithmetic number, because the mean of its divisors is an integer number (4124960).

Almost surely, 2269226048 is an apocalyptic number.

269226048 is a gapful number since it is divisible by the number (28) 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 269226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461995520).

269226048 is an abundant number, since it is smaller than the sum of its proper divisors (654764992).

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

269226048 is a wasteful number, since it uses less digits than its factorization.

269226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 269226048 is about 16408.1092146536. The cubic root of 269226048 is about 645.7122496757.

The spelling of 269226048 in words is "two hundred sixty-nine million, two hundred twenty-six thousand, forty-eight".