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226523968 = 2611794073
BaseRepresentation
bin11011000000001…
…11101101000000
3120210020121110121
431200013231000
5430442231333
634251110024
75420264506
oct1540075500
9523217417
10226523968
111069598a0
1263a42314
1337c13068
1422128676
1514d4832d
hexd807b40

226523968 has 56 divisors (see below), whose sum is σ = 496702080. Its totient is φ = 101637120.

The previous prime is 226523939. The next prime is 226523971. The reversal of 226523968 is 869325622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53580 + ... + 57652.

It is an arithmetic number, because the mean of its divisors is an integer number (8869680).

Almost surely, 2226523968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248351040).

226523968 is an abundant number, since it is smaller than the sum of its proper divisors (270178112).

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

226523968 is a wasteful number, since it uses less digits than its factorization.

226523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4165 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 226523968 is about 15050.7132056923. The cubic root of 226523968 is about 609.5903080784.

The spelling of 226523968 in words is "two hundred twenty-six million, five hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1738 2528 3476 4073 5056 6952 8146 13904 16292 27808 32584 44803 55616 65168 89606 130336 179212 260672 321767 358424 643534 716848 1287068 1433696 2574136 2867392 3539437 5148272 7078874 10296544 14157748 20593088 28315496 56630992 113261984 226523968