Search a number
-
+
226016352 = 2533261593
BaseRepresentation
bin11010111100010…
…11110001100000
3120202021211011000
431132023301200
5430330010402
634232152000
75413051542
oct1536136140
9522254130
10226016352
11106642481
1263838600
1337a95cb3
1422035692
1514c97c1c
hexd78bc60

226016352 has 48 divisors (see below), whose sum is σ = 659216880. Its totient is φ = 75338496.

The previous prime is 226016341. The next prime is 226016353. The reversal of 226016352 is 253610622.

226016352 is a `hidden beast` number, since 2 + 2 + 601 + 6 + 3 + 52 = 666.

226016352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226016353) 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, 129933 + ... + 131660.

It is an arithmetic number, because the mean of its divisors is an integer number (13733685).

Almost surely, 2226016352 is an apocalyptic number.

It is an amenable number.

226016352 is an abundant number, since it is smaller than the sum of its proper divisors (433200528).

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

226016352 is a wasteful number, since it uses less digits than its factorization.

226016352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261612 (or 261598 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 226016352 is about 15033.8402279657. The cubic root of 226016352 is about 609.1346252887.

Adding to 226016352 its reverse (253610622), we get a palindrome (479626974).

The spelling of 226016352 in words is "two hundred twenty-six million, sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 261593 523186 784779 1046372 1569558 2092744 2354337 3139116 4185488 4708674 6278232 7063011 8370976 9417348 12556464 14126022 18834696 25112928 28252044 37669392 56504088 75338784 113008176 226016352