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102228210 = 2335727727
BaseRepresentation
bin1100001011111…
…10000011110010
321010100201202000
412011332003302
5202132300320
614051034430
72350632300
oct605760362
9233321660
10102228210
1152783627
122a29ba16
1318243a86
14d811270
158e94c90
hex617e0f2

102228210 has 96 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 23363424.

The previous prime is 102228209. The next prime is 102228223. The reversal of 102228210 is 12822201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9367 + ... + 17093.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2102228210 is an apocalyptic number.

102228210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102228210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

102228210 is an abundant number, since it is smaller than the sum of its proper divisors (214928910).

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

102228210 is a wasteful number, since it uses less digits than its factorization.

102228210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7757 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102228210 is about 10110.7967045134. The cubic root of 102228210 is about 467.5810682332.

The spelling of 102228210 in words is "one hundred two million, two hundred twenty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 7727 13230 15454 23181 38635 46362 54089 69543 77270 108178 115905 139086 162267 208629 231810 270445 324534 347715 378623 417258 486801 540890 695430 757246 811335 973602 1043145 1135869 1460403 1622670 1893115 2086290 2271738 2434005 2920806 3407607 3786230 4868010 5679345 6815214 7302015 10222821 11358690 14604030 17038035 20445642 34076070 51114105 102228210