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227244032 = 2111761107
BaseRepresentation
bin11011000101101…
…11100000000000
3120211121012012122
431202313200000
5431133302112
634314343412
75426354021
oct1542674000
9524535178
10227244032
11107300894
126412ab68
1338105a32
1422274c48
1514e3b872
hexd8b7800

227244032 has 96 divisors (see below), whose sum is σ = 493562160. Its totient is φ = 104202240.

The previous prime is 227244007. The next prime is 227244077. The reversal of 227244032 is 230442722.

It is a junction number, because it is equal to n+sod(n) for n = 227243992 and 227244010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2123723 + ... + 2123829.

Almost surely, 2227244032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246781080).

227244032 is an abundant number, since it is smaller than the sum of its proper divisors (266318128).

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

227244032 is a wasteful number, since it uses less digits than its factorization.

227244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 227244032 is about 15074.6154843167. The cubic root of 227244032 is about 610.2355374562.

Adding to 227244032 its reverse (230442722), we get a palindrome (457686754).

The spelling of 227244032 in words is "two hundred twenty-seven million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 107 122 128 136 214 244 256 272 428 488 512 544 856 976 1024 1037 1088 1712 1819 1952 2048 2074 2176 3424 3638 3904 4148 4352 6527 6848 7276 7808 8296 8704 13054 13696 14552 15616 16592 17408 26108 27392 29104 31232 33184 34816 52216 54784 58208 62464 66368 104432 109568 110959 116416 124928 132736 208864 219136 221918 232832 265472 417728 443836 465664 530944 835456 887672 931328 1061888 1670912 1775344 1862656 2123776 3341824 3550688 3725312 6683648 7101376 13367296 14202752 28405504 56811008 113622016 227244032