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300220100 = 225214920149
BaseRepresentation
bin10001111001001…
…111111011000100
3202220220202112222
4101321033323010
51103324020400
645442431512
710303554155
oct2171177304
9686822488
10300220100
11144514894
1284662598
134a27703b
142bc2d92c
151b554185
hex11e4fec4

300220100 has 36 divisors (see below), whose sum is σ = 655882500. Its totient is φ = 119276160.

The previous prime is 300220073. The next prime is 300220111. The reversal of 300220100 is 1022003.

It can be written as a sum of positive squares in 6 ways, for example, as 41396356 + 258823744 = 6434^2 + 16088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4826 + ... + 24974.

Almost surely, 2300220100 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 300220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327941250).

300220100 is an abundant number, since it is smaller than the sum of its proper divisors (355662400).

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

300220100 is a wasteful number, since it uses less digits than its factorization.

300220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20312 (or 20305 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 300220100 is about 17326.8606504468. The cubic root of 300220100 is about 669.5966236084.

Adding to 300220100 its reverse (1022003), we get a palindrome (301242103).

The spelling of 300220100 in words is "three hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 20149 40298 80596 100745 201490 402980 503725 1007450 2014900 3002201 6004402 12008804 15011005 30022010 60044020 75055025 150110050 300220100