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226453412232 = 23334324381289
BaseRepresentation
bin1101001011100110101…
…1001101100110001000
3210122111221001021002000
43102321223031212020
512202234033142412
6252010430311000
722234504146555
oct3227153154610
9718457037060
10226453412232
1188047058363
1237a7a958460
131847b9b5718
14ad634c1a2c
155d55a3c4dc
hex34b9acd988

226453412232 has 64 divisors (see below), whose sum is σ = 643666056000. Its totient is φ = 73729014912.

The previous prime is 226453412219. The next prime is 226453412233. The reversal of 226453412232 is 232214354622.

226453412232 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 5 + 3 + 412 + 232 = 666.

226453412232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2264534122322 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (226453412233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12181357 + ... + 12199932.

It is an arithmetic number, because the mean of its divisors is an integer number (10057282125).

Almost surely, 2226453412232 is an apocalyptic number.

It is an amenable number.

226453412232 is an abundant number, since it is smaller than the sum of its proper divisors (417212643768).

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

226453412232 is a wasteful number, since it uses less digits than its factorization.

226453412232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24381347 (or 24381337 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 226453412232 its reverse (232214354622), we get a palindrome (458667766854).

The spelling of 226453412232 in words is "two hundred twenty-six billion, four hundred fifty-three million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 24381289 48762578 73143867 97525156 146287734 195050312 219431601 292575468 438863202 585150936 658294803 877726404 1048395427 1316589606 1755452808 2096790854 2633179212 3145186281 4193581708 5266358424 6290372562 8387163416 9435558843 12580745124 18871117686 25161490248 28306676529 37742235372 56613353058 75484470744 113226706116 226453412232