Search a number
-
+
226401021 = 33721147331
BaseRepresentation
bin11010111111010…
…01101011111101
3120210000100211000
431133221223331
5430424313041
634244320513
75416243200
oct1537515375
9523010730
10226401021
11106885490
12639a3139
1337b9c102
14220d5937
1514d21bb6
hexd7e9afd

226401021 has 96 divisors (see below), whose sum is σ = 436008960. Its totient is φ = 114760800.

The previous prime is 226401013. The next prime is 226401023. The reversal of 226401021 is 120104622.

226401021 is a `hidden beast` number, since 2 + 2 + 640 + 1 + 0 + 21 = 666.

It is not a de Polignac number, because 226401021 - 23 = 226401013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 226400985 and 226401003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226401023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683826 + ... + 684156.

It is an arithmetic number, because the mean of its divisors is an integer number (4541760).

Almost surely, 2226401021 is an apocalyptic number.

226401021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226401021 is a deficient number, since it is larger than the sum of its proper divisors (209607939).

226401021 is a wasteful number, since it uses less digits than its factorization.

226401021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 226401021 is about 15046.6282269484. The cubic root of 226401021 is about 609.4800020716.

Adding to 226401021 its reverse (120104622), we get a palindrome (346505643).

The spelling of 226401021 in words is "two hundred twenty-six million, four hundred one thousand, twenty-one".

Divisors: 1 3 7 9 11 21 27 33 47 49 63 77 99 141 147 189 231 297 329 331 423 441 517 539 693 987 993 1269 1323 1551 1617 2079 2303 2317 2961 2979 3619 3641 4653 4851 6909 6951 8883 8937 10857 10923 13959 14553 15557 16219 20727 20853 25333 25487 32571 32769 46671 48657 62181 62559 75999 76461 97713 98307 108899 140013 145971 171127 178409 227997 229383 326697 420039 437913 513381 535227 683991 688149 762293 980091 1197889 1540143 1605681 2286879 2940273 3593667 4620429 4817043 6860637 8385223 10781001 20581911 25155669 32343003 75467007 226401021