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226298784 = 2532357279
BaseRepresentation
bin11010111110100…
…00101110100000
3120202211011120110
431133100232200
5430413030114
634242211320
75415336135
oct1537205640
9522734513
10226298784
11106815698
1263953b40
1337b6470a
14220aa58c
1514d01759
hexd7d0ba0

226298784 has 24 divisors (see below), whose sum is σ = 594034560. Its totient is φ = 75432896.

The previous prime is 226298767. The next prime is 226298801. The reversal of 226298784 is 487892622.

226298784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226298767) and next prime (226298801).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2262987842 = 102422279279757312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1178544 + ... + 1178735.

It is an arithmetic number, because the mean of its divisors is an integer number (24751440).

Almost surely, 2226298784 is an apocalyptic number.

226298784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226298784 is an abundant number, since it is smaller than the sum of its proper divisors (367735776).

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

226298784 is a wasteful number, since it uses less digits than its factorization.

226298784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357292 (or 2357284 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 226298784 is about 15043.2305041171. The cubic root of 226298784 is about 609.3882463182.

It can be divided in two parts, 22629 and 8784, that added together give a palindrome (31413).

The spelling of 226298784 in words is "two hundred twenty-six million, two hundred ninety-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2357279 4714558 7071837 9429116 14143674 18858232 28287348 37716464 56574696 75432928 113149392 226298784