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226580464 = 24111379397
BaseRepresentation
bin11011000000101…
…01011111110000
3120210100110222001
431200111133300
5431001033324
634252223344
75420621305
oct1540253760
9523313861
10226580464
11106998290
1263a6ab54
1337c329a6
14221410ac
1514d59e44
hexd8157f0

226580464 has 40 divisors (see below), whose sum is σ = 482455728. Its totient is φ = 102228480.

The previous prime is 226580447. The next prime is 226580477. The reversal of 226580464 is 464085622.

226580464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19414 + ... + 28810.

Almost surely, 2226580464 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 226580464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241227864).

226580464 is an abundant number, since it is smaller than the sum of its proper divisors (255875264).

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

226580464 is a wasteful number, since it uses less digits than its factorization.

226580464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 226580464 is about 15052.5899432623. The cubic root of 226580464 is about 609.6409819675.

The spelling of 226580464 in words is "two hundred twenty-six million, five hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 1096 1507 2192 3014 6028 9397 12056 18794 24112 37588 75176 103367 150352 206734 413468 826936 1287389 1653872 2574778 5149556 10299112 14161279 20598224 28322558 56645116 113290232 226580464