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3228300 = 22325217211
BaseRepresentation
bin1100010100001010001100
320002000101200
430110022030
51311301200
6153105500
736303645
oct14241214
96060350
103228300
111905519
1210b8290
1389054a
146006cc
1543b800
hex31428c

3228300 has 108 divisors (see below), whose sum is σ = 10764936. Its totient is φ = 806400.

The previous prime is 3228293. The next prime is 3228341. The reversal of 3228300 is 38223.

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 35 ways as a sum of consecutive naturals, for example, 15195 + ... + 15405.

Almost surely, 23228300 is an apocalyptic number.

3228300 is a gapful number since it is divisible by the number (30) 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 3228300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382468).

3228300 is an abundant number, since it is smaller than the sum of its proper divisors (7536636).

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

3228300 is a wasteful number, since it uses less digits than its factorization.

3228300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3228300 is about 1796.7470606627. The cubic root of 3228300 is about 147.7943943141.

The spelling of 3228300 in words is "three million, two hundred twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 211 225 255 300 306 340 422 425 450 510 612 633 765 844 850 900 1020 1055 1266 1275 1530 1700 1899 2110 2532 2550 3060 3165 3587 3798 3825 4220 5100 5275 6330 7174 7596 7650 9495 10550 10761 12660 14348 15300 15825 17935 18990 21100 21522 31650 32283 35870 37980 43044 47475 53805 63300 64566 71740 89675 94950 107610 129132 161415 179350 189900 215220 269025 322830 358700 538050 645660 807075 1076100 1614150 3228300