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36252228 = 223171947199
BaseRepresentation
bin1000101001001…
…0101001000100
32112012210201010
42022102221010
533240032403
63333002220
7620065425
oct212225104
975183633
1036252228
1119510921
1210183370
137683a2c
144b5964c
1532b1603
hex2292a44

36252228 has 96 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 10492416.

The previous prime is 36252221. The next prime is 36252253. The reversal of 36252228 is 82225263.

It is a junction number, because it is equal to n+sod(n) for n = 36252195 and 36252204.

It is not an unprimeable number, because it can be changed into a prime (36252221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182073 + ... + 182271.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 236252228 is an apocalyptic number.

36252228 is a gapful number since it is divisible by the number (38) 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 36252228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

36252228 is an abundant number, since it is smaller than the sum of its proper divisors (60515772).

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

36252228 is a wasteful number, since it uses less digits than its factorization.

36252228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 36252228 is about 6020.9823118823. The cubic root of 36252228 is about 330.9620776615.

The spelling of 36252228 in words is "thirty-six million, two hundred fifty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 47 51 57 68 76 94 102 114 141 188 199 204 228 282 323 398 564 597 646 796 799 893 969 1194 1292 1598 1786 1938 2388 2397 2679 3196 3383 3572 3781 3876 4794 5358 6766 7562 9353 9588 10149 10716 11343 13532 15124 15181 18706 20298 22686 28059 30362 37412 40596 45372 45543 56118 60724 64277 91086 112236 128554 159001 177707 182172 192831 257108 318002 355414 385662 477003 533121 636004 710828 771324 954006 1066242 1908012 2132484 3021019 6042038 9063057 12084076 18126114 36252228