Search a number
-
+
226981440 = 263657139
BaseRepresentation
bin11011000011101…
…11011001000000
3120211002212000000
431201313121000
5431101401230
634305000000
75424211320
oct1541673100
9524085000
10226981440
11107141574
1264023000
133804335a
1422207280
1514dd8b60
hexd877640

226981440 has 392 divisors, whose sum is σ = 932809920. Its totient is φ = 51508224.

The previous prime is 226981423. The next prime is 226981481. The reversal of 226981440 is 44189622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 226981395 and 226981404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1632891 + ... + 1633029.

Almost surely, 2226981440 is an apocalyptic number.

226981440 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 226981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466404960).

226981440 is an abundant number, since it is smaller than the sum of its proper divisors (705828480).

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

226981440 is an equidigital number, since it uses as much as digits as its factorization.

226981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 226981440 is about 15065.9032254956. The cubic root of 226981440 is about 610.0003941590. Note that the first 3 decimals are identical.

The spelling of 226981440 in words is "two hundred twenty-six million, nine hundred eighty-one thousand, four hundred forty".