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35228250 = 2335317307
BaseRepresentation
bin1000011001100…
…0101001011010
32110021210002000
42012120221122
533004301000
63255021430
7605302161
oct206305132
973253060
1035228250
1118981562
12b96a876
1373b5925
1449703d8
15315d000
hex2198a5a

35228250 has 128 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 8812800.

The previous prime is 35228227. The next prime is 35228257. The reversal of 35228250 is 5282253.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (35228257) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 114597 + ... + 114903.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 235228250 is an apocalyptic number.

35228250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35228250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

35228250 is an abundant number, since it is smaller than the sum of its proper divisors (68555430).

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

35228250 is a wasteful number, since it uses less digits than its factorization.

35228250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 35228250 is about 5935.3390804570. The cubic root of 35228250 is about 327.8161583793.

The spelling of 35228250 in words is "thirty-five million, two hundred twenty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 125 135 150 153 170 225 250 255 270 306 307 375 425 450 459 510 614 675 750 765 850 918 921 1125 1275 1350 1530 1535 1842 2125 2250 2295 2550 2763 3070 3375 3825 4250 4590 4605 5219 5526 6375 6750 7650 7675 8289 9210 10438 11475 12750 13815 15350 15657 16578 19125 22950 23025 26095 27630 31314 38250 38375 41445 46050 46971 52190 57375 69075 76750 78285 82890 93942 114750 115125 130475 138150 140913 156570 207225 230250 234855 260950 281826 345375 391425 414450 469710 652375 690750 704565 782850 1036125 1174275 1304750 1409130 1957125 2072250 2348550 3522825 3914250 5871375 7045650 11742750 17614125 35228250