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226187440 = 24527110433
BaseRepresentation
bin11010111101101…
…01100010110000
3120202121111211121
431132311202300
5430400444230
634235552024
75414363413
oct1536654260
9522544747
10226187440
11106749a76
12638bb614
1337b25b2b
142207bb7a
1514ccd77a
hexd7b58b0

226187440 has 40 divisors (see below), whose sum is σ = 527876928. Its totient is φ = 90132480.

The previous prime is 226187393. The next prime is 226187441. The reversal of 226187440 is 44781622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 226187396 and 226187405.

It is not an unprimeable number, because it can be changed into a prime (226187441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16464 + ... + 26896.

Almost surely, 2226187440 is an apocalyptic number.

226187440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226187440 is an abundant number, since it is smaller than the sum of its proper divisors (301689488).

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

226187440 is a wasteful number, since it uses less digits than its factorization.

226187440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 226187440 is about 15039.5292479519. The cubic root of 226187440 is about 609.2882857633.

The spelling of 226187440 in words is "two hundred twenty-six million, one hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 271 542 1084 1355 2168 2710 4336 5420 10433 10840 20866 21680 41732 52165 83464 104330 166928 208660 417320 834640 2827343 5654686 11309372 14136715 22618744 28273430 45237488 56546860 113093720 226187440