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226649280 = 263511132127
BaseRepresentation
bin11011000001001…
…10010011000000
3120210110222100210
431200212103000
5431010234110
634253514120
75421326034
oct1540462300
9523428323
10226649280
11106a34a60
1263aa2940
1337c58100
142215c1c4
1514d70520
hexd8264c0

226649280 has 336 divisors, whose sum is σ = 856756224. Its totient is φ = 50319360.

The previous prime is 226649279. The next prime is 226649299. The reversal of 226649280 is 82946622.

226649280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2266492802 = 102739792249036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784577 + ... + 1784703.

Almost surely, 2226649280 is an apocalyptic number.

226649280 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 226649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428378112).

226649280 is an abundant number, since it is smaller than the sum of its proper divisors (630106944).

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

226649280 is a wasteful number, since it uses less digits than its factorization.

226649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 226649280 is about 15054.8756222029. The cubic root of 226649280 is about 609.7026948598.

The spelling of 226649280 in words is "two hundred twenty-six million, six hundred forty-nine thousand, two hundred eighty".