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103212228 = 22372257683
BaseRepresentation
bin1100010011011…
…10010011000100
321012012201120010
412021232103010
5202410242403
614124110220
72362201200
oct611562304
9235181503
10103212228
1153295969
122a695370
13184c9932
14d9c9b00
1590db603
hex626e4c4

103212228 has 72 divisors (see below), whose sum is σ = 281649312. Its totient is φ = 29331456.

The previous prime is 103212223. The next prime is 103212229. The reversal of 103212228 is 822212301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (103212223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150775 + ... + 151457.

It is an arithmetic number, because the mean of its divisors is an integer number (3911796).

Almost surely, 2103212228 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 103212228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824656).

103212228 is an abundant number, since it is smaller than the sum of its proper divisors (178437084).

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

103212228 is a wasteful number, since it uses less digits than its factorization.

103212228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 103212228 is about 10159.3419078206. The cubic root of 103212228 is about 469.0765450174.

Adding to 103212228 its reverse (822212301), we get a palindrome (925424529).

The spelling of 103212228 in words is "one hundred three million, two hundred twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 257 294 514 588 683 771 1028 1366 1542 1799 2049 2732 3084 3598 4098 4781 5397 7196 8196 9562 10794 12593 14343 19124 21588 25186 28686 33467 37779 50372 57372 66934 75558 100401 133868 151116 175531 200802 351062 401604 526593 702124 1053186 1228717 2106372 2457434 3686151 4914868 7372302 8601019 14744604 17202038 25803057 34404076 51606114 103212228