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226754880 = 263511109197
BaseRepresentation
bin11011000010000…
…00000101000000
3120210200100012220
431201000011000
5431022124010
634300051040
75422245642
oct1541000500
9523610186
10226754880
11106aa7330
1263b33a80
1337c941b1
1422188892
1514d91970
hexd840140

226754880 has 224 divisors, whose sum is σ = 796625280. Its totient is φ = 54190080.

The previous prime is 226754851. The next prime is 226754881. The reversal of 226754880 is 88457622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226754881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150942 + ... + 1151138.

Almost surely, 2226754880 is an apocalyptic number.

226754880 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 226754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398312640).

226754880 is an abundant number, since it is smaller than the sum of its proper divisors (569870400).

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

226754880 is a wasteful number, since it uses less digits than its factorization.

226754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 226754880 is about 15058.3823832442. The cubic root of 226754880 is about 609.7973706629.

The spelling of 226754880 in words is "two hundred twenty-six million, seven hundred fifty-four thousand, eight hundred eighty".