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102033228 = 223116783139
BaseRepresentation
bin1100001010011…
…10011101001100
321002222211021110
412011032131030
5202110030403
614042532020
72346160653
oct605163514
9232884243
10102033228
1152660090
122a207010
13181a60bb
14d7a019a
158e57103
hex614e74c

102033228 has 96 divisors (see below), whose sum is σ = 268692480. Its totient is φ = 29874240.

The previous prime is 102033203. The next prime is 102033229. The reversal of 102033228 is 822330201.

It is not an unprimeable number, because it can be changed into a prime (102033229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733983 + ... + 734121.

It is an arithmetic number, because the mean of its divisors is an integer number (2798880).

Almost surely, 2102033228 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 102033228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134346240).

102033228 is an abundant number, since it is smaller than the sum of its proper divisors (166659252).

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

102033228 is a wasteful number, since it uses less digits than its factorization.

102033228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 102033228 is about 10101.1498355385. The cubic root of 102033228 is about 467.2836033203.

Adding to 102033228 its reverse (822330201), we get a palindrome (924363429).

It can be divided in two parts, 10203 and 3228, that added together give a palindrome (13431).

The spelling of 102033228 in words is "one hundred two million, thirty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 83 132 134 139 166 201 249 268 278 332 402 417 498 556 737 804 834 913 996 1474 1529 1668 1826 2211 2739 2948 3058 3652 4422 4587 5478 5561 6116 8844 9174 9313 10956 11122 11537 16683 18348 18626 22244 23074 27939 33366 34611 37252 46148 55878 61171 66732 69222 102443 111756 122342 126907 138444 183513 204886 244684 253814 307329 367026 380721 409772 507628 614658 734052 761442 772979 1229316 1522884 1545958 2318937 3091916 4637874 8502769 9275748 17005538 25508307 34011076 51016614 102033228