Search a number
-
+
226879380 = 2238571319
BaseRepresentation
bin11011000010111…
…10011110010100
3120210220200000000
431201132132110
5431040120010
634302451300
75423304630
oct1541363624
9523820000
10226879380
11107081922
1263b93b30
1338008a70
14221bbdc0
1514db87c0
hexd85e794

226879380 has 432 divisors, whose sum is σ = 925841280. Its totient is φ = 45349632.

The previous prime is 226879369. The next prime is 226879391. The reversal of 226879380 is 83978622.

226879380 is a `hidden beast` number, since 2 + 268 + 7 + 9 + 380 = 666.

It is an interprime number because it is at equal distance from previous prime (226879369) and next prime (226879391).

It is a super-3 number, since 3×2268793803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11941011 + ... + 11941029.

Almost surely, 2226879380 is an apocalyptic number.

226879380 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 226879380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462920640).

226879380 is an abundant number, since it is smaller than the sum of its proper divisors (698961900).

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

226879380 is a wasteful number, since it uses less digits than its factorization.

226879380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 226879380 is about 15062.5157261329. The cubic root of 226879380 is about 609.9089535349.

The spelling of 226879380 in words is "two hundred twenty-six million, eight hundred seventy-nine thousand, three hundred eighty".