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103224200 = 2352618461
BaseRepresentation
bin1100010011100…
…01001110001000
321012020022222112
412021301032020
5202411133300
614124241452
72362251122
oct611611610
9235208875
10103224200
11532a3962
122a6a0288
1318502211
14d9d0212
1590dee35
hex6271388

103224200 has 48 divisors (see below), whose sum is σ = 243959460. Its totient is φ = 40608000.

The previous prime is 103224197. The next prime is 103224211. The reversal of 103224200 is 2422301.

It can be written as a sum of positive squares in 6 ways, for example, as 26030404 + 77193796 = 5102^2 + 8786^2 .

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 11 ways as a sum of consecutive naturals, for example, 7970 + ... + 16430.

Almost surely, 2103224200 is an apocalyptic number.

103224200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121979730).

103224200 is an abundant number, since it is smaller than the sum of its proper divisors (140735260).

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

103224200 is a wasteful number, since it uses less digits than its factorization.

103224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 103224200 is about 10159.9311021286. The cubic root of 103224200 is about 469.0946810057.

Adding to 103224200 its reverse (2422301), we get a palindrome (105646501).

The spelling of 103224200 in words is "one hundred three million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 8461 12200 16922 33844 42305 67688 84610 169220 211525 338440 423050 516121 846100 1032242 1692200 2064484 2580605 4128968 5161210 10322420 12903025 20644840 25806050 51612100 103224200