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2300200 = 235273153
BaseRepresentation
bin1000110001100100101000
311022212021121
420301210220
51042101300
6121145024
725360060
oct10614450
94285247
102300200
1113311a1
1292b174
13626c86
1443c3a0
1530681a
hex231928

2300200 has 96 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 748800.

The previous prime is 2300189. The next prime is 2300201. The reversal of 2300200 is 20032.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (2300201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43374 + ... + 43426.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

22300200 is an apocalyptic number.

2300200 is a gapful number since it is divisible by the number (20) 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 2300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2300200 is an abundant number, since it is smaller than the sum of its proper divisors (4127960).

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

2300200 is a wasteful number, since it uses less digits than its factorization.

2300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 2300200 is about 1516.6410254243. The cubic root of 2300200 is about 132.0044381734.

Adding to 2300200 its reverse (20032), we get a palindrome (2320232).

It can be divided in two parts, 2300 and 200, that added together give a square (2500 = 502).

The spelling of 2300200 in words is "two million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 53 56 62 70 100 106 124 140 155 175 200 212 217 248 265 280 310 350 371 424 434 530 620 700 742 775 868 1060 1085 1240 1325 1400 1484 1550 1643 1736 1855 2120 2170 2650 2968 3100 3286 3710 4340 5300 5425 6200 6572 7420 8215 8680 9275 10600 10850 11501 13144 14840 16430 18550 21700 23002 32860 37100 41075 43400 46004 57505 65720 74200 82150 92008 115010 164300 230020 287525 328600 460040 575050 1150100 2300200