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226803456 = 28331119157
BaseRepresentation
bin11011000010010…
…11111100000000
3120210202210212000
431201023330000
5431030202311
634301104000
75422540365
oct1541137400
9523683760
10226803456
1110702a880
1263b58000
1337cb0339
142219c46c
1514da1056
hexd84bf00

226803456 has 288 divisors, whose sum is σ = 775084800. Its totient is φ = 64696320.

The previous prime is 226803439. The next prime is 226803463. The reversal of 226803456 is 654308622.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 226803456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444530 + ... + 1444686.

Almost surely, 2226803456 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 226803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387542400).

226803456 is an abundant number, since it is smaller than the sum of its proper divisors (548281344).

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

226803456 is a wasteful number, since it uses less digits than its factorization.

226803456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 226803456 is about 15059.9952191227. The cubic root of 226803456 is about 609.8409116621.

The spelling of 226803456 in words is "two hundred twenty-six million, eight hundred three thousand, four hundred fifty-six".