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226450080 = 25345101173
BaseRepresentation
bin11010111111101…
…01101010100000
3120210002212010000
431133311222200
5430432400310
634245340000
75416536213
oct1537655240
9523085100
10226450080
1110690932a
1263a07600
1337bb853c
142210977a
1514d314c0
hexd7f5aa0

226450080 has 240 divisors, whose sum is σ = 811758024. Its totient is φ = 59443200.

The previous prime is 226450073. The next prime is 226450099. The reversal of 226450080 is 80054622.

226450080 is a `hidden beast` number, since 22 + 64 + 500 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 225360144 + 1089936 = 15012^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1308874 + ... + 1309046.

Almost surely, 2226450080 is an apocalyptic number.

226450080 is a gapful number since it is divisible by the number (20) 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 226450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405879012).

226450080 is an abundant number, since it is smaller than the sum of its proper divisors (585307944).

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

226450080 is a wasteful number, since it uses less digits than its factorization.

226450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 226450080 is about 15048.2583709877. The cubic root of 226450080 is about 609.5240217788.

The spelling of 226450080 in words is "two hundred twenty-six million, four hundred fifty thousand, eighty".