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102806228 = 22723612617
BaseRepresentation
bin1100010000010…
…11001011010100
321011110002122002
412020023023110
5202304244403
614111254432
72355560420
oct610131324
9234402562
10102806228
1153038928
122a51a418
13183b6bb5
14d921b80
15905b188
hex620b2d4

102806228 has 48 divisors (see below), whose sum is σ = 218152704. Its totient is φ = 41437440.

The previous prime is 102806213. The next prime is 102806233. The reversal of 102806228 is 822608201.

It is a self number, because there is not a number n which added to its sum of digits gives 102806228.

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 15 ways as a sum of consecutive naturals, for example, 37976 + ... + 40592.

It is an arithmetic number, because the mean of its divisors is an integer number (4544848).

Almost surely, 2102806228 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 102806228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109076352).

102806228 is an abundant number, since it is smaller than the sum of its proper divisors (115346476).

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

102806228 is a wasteful number, since it uses less digits than its factorization.

102806228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 102806228 is about 10139.3406097241. The cubic root of 102806228 is about 468.4606769741.

The spelling of 102806228 in words is "one hundred two million, eight hundred six thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 23 28 46 61 92 122 161 244 322 427 644 854 1403 1708 2617 2806 5234 5612 9821 10468 18319 19642 36638 39284 60191 73276 120382 159637 240764 319274 421337 638548 842674 1117459 1685348 2234918 3671651 4469836 7343302 14686604 25701557 51403114 102806228