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226276704 = 25324119163
BaseRepresentation
bin11010111110010…
…11010101100000
3120202210001021200
431133023111200
5430411323304
634241521200
75415214563
oct1537132540
9522701250
10226276704
11106800045
1263943200
1337b57654
14220a24da
1514ce9e39
hexd7cb560

226276704 has 72 divisors (see below), whose sum is σ = 659203272. Its totient is φ = 73582080.

The previous prime is 226276667. The next prime is 226276709. The reversal of 226276704 is 407672622.

226276704 is a `hidden beast` number, since 22 + 627 + 6 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2262767042 = 102402293546207232, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226276709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2227 + ... + 21389.

It is an arithmetic number, because the mean of its divisors is an integer number (9155601).

Almost surely, 2226276704 is an apocalyptic number.

226276704 is a gapful number since it is divisible by the number (24) 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 226276704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329601636).

226276704 is an abundant number, since it is smaller than the sum of its proper divisors (432926568).

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

226276704 is a wasteful number, since it uses less digits than its factorization.

226276704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19220 (or 19209 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 226276704 is about 15042.4966012959. The cubic root of 226276704 is about 609.3684263117.

It can be divided in two parts, 22 and 6276704, that added together give a palindrome (6276726).

The spelling of 226276704 in words is "two hundred twenty-six million, two hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 19163 38326 57489 76652 114978 153304 172467 229956 306608 344934 459912 613216 689868 785683 919824 1379736 1571366 1839648 2357049 2759472 3142732 4714098 5518944 6285464 7071147 9428196 12570928 14142294 18856392 25141856 28284588 37712784 56569176 75425568 113138352 226276704