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2820484200 = 233524700807
BaseRepresentation
bin1010100000011101…
…0010110001101000
321021120020102221210
42220013102301220
521234020443300
61143512433120
7126615502002
oct25007226150
97246212853
102820484200
1112180a9586
126686a87a0
1335c44cb81
141ca837372
15117934050
hexa81d2c68

2820484200 has 48 divisors (see below), whose sum is σ = 8743502880. Its totient is φ = 752128960.

The previous prime is 2820484169. The next prime is 2820484213. The reversal of 2820484200 is 24840282.

It is a super-2 number, since 2×28204842002 = 15910262244899280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2349804 + ... + 2351003.

It is an arithmetic number, because the mean of its divisors is an integer number (182156310).

Almost surely, 22820484200 is an apocalyptic number.

2820484200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820484200 is an abundant number, since it is smaller than the sum of its proper divisors (5923018680).

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

2820484200 is a wasteful number, since it uses less digits than its factorization.

2820484200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700826 (or 4700817 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2820484200 is about 53108.2310004768. The cubic root of 2820484200 is about 1412.8885004394. Note that the first 3 decimals are identical.

The spelling of 2820484200 in words is "two billion, eight hundred twenty million, four hundred eighty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4700807 9401614 14102421 18803228 23504035 28204842 37606456 47008070 56409684 70512105 94016140 112819368 117520175 141024210 188032280 235040350 282048420 352560525 470080700 564096840 705121050 940161400 1410242100 2820484200