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226555056 = 243471317113
BaseRepresentation
bin11011000000011…
…11010010110000
3120210022012010000
431200033102300
5430444230211
634251510000
75420454240
oct1540172260
9523265100
10226555056
11106980192
1263a58300
1337c24260
1422135b20
1514d52656
hexd80f4b0

226555056 has 400 divisors, whose sum is σ = 862069824. Its totient is φ = 55738368.

The previous prime is 226555013. The next prime is 226555079. The reversal of 226555056 is 650555622.

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 226555056.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2004856 + ... + 2004968.

Almost surely, 2226555056 is an apocalyptic number.

226555056 is a gapful number since it is divisible by the number (26) 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 226555056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

226555056 is an abundant number, since it is smaller than the sum of its proper divisors (635514768).

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

226555056 is a wasteful number, since it uses less digits than its factorization.

226555056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 226555056 is about 15051.7459452384. The cubic root of 226555056 is about 609.6181933934.

The spelling of 226555056 in words is "two hundred twenty-six million, five hundred fifty-five thousand, fifty-six".