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2000300220 = 2232550322093
BaseRepresentation
bin111011100111010…
…0010100010111100
312011101220210001100
41313032202202330
513044034101340
6530253213100
7100366162032
oct16716424274
95141823040
102000300220
11937132186
12479a91190
1325b550bc9
1414d936552
15ba921830
hex773a28bc

2000300220 has 72 divisors (see below), whose sum is σ = 6079915296. Its totient is φ = 532328832.

The previous prime is 2000300219. The next prime is 2000300243. The reversal of 2000300220 is 220030002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79494 + ... + 101586.

It is an arithmetic number, because the mean of its divisors is an integer number (84443268).

Almost surely, 22000300220 is an apocalyptic number.

2000300220 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 2000300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039957648).

2000300220 is an abundant number, since it is smaller than the sum of its proper divisors (4079615076).

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

2000300220 is a wasteful number, since it uses less digits than its factorization.

2000300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22611 (or 22606 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2000300220 is about 44724.7159856829. The cubic root of 2000300220 is about 1259.9840889903.

Adding to 2000300220 its reverse (220030002), we get a palindrome (2220330222).

The spelling of 2000300220 in words is "two billion, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 503 1006 1509 2012 2515 3018 4527 5030 6036 7545 9054 10060 15090 18108 22093 22635 30180 44186 45270 66279 88372 90540 110465 132558 198837 220930 265116 331395 397674 441860 662790 795348 994185 1325580 1988370 3976740 11112779 22225558 33338337 44451116 55563895 66676674 100015011 111127790 133353348 166691685 200030022 222255580 333383370 400060044 500075055 666766740 1000150110 2000300220