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2028352500 = 22325490149
BaseRepresentation
bin111100011100110…
…0011001111110100
312020100200222112200
41320321203033310
513123224240000
6533134344500
7101156466066
oct17071431764
95210628480
102028352500
11950a52289
1248735b130
132642c34a5
14153559736
15bd113500
hex78e633f4

2028352500 has 90 divisors (see below), whose sum is σ = 6407050650. Its totient is φ = 540888000.

The previous prime is 2028352499. The next prime is 2028352507. The reversal of 2028352500 is 52538202.

It can be written as a sum of positive squares in 5 ways, for example, as 1402652304 + 625700196 = 37452^2 + 25014^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×20283525002 = 8228427728512500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028352507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22575 + ... + 67574.

Almost surely, 22028352500 is an apocalyptic number.

2028352500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028352500 is an abundant number, since it is smaller than the sum of its proper divisors (4378698150).

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

2028352500 is a wasteful number, since it uses less digits than its factorization.

2028352500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90179 (or 90159 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2028352500 is about 45037.2345953878. The cubic root of 2028352500 is about 1265.8467878349.

The spelling of 2028352500 in words is "two billion, twenty-eight million, three hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 90149 180298 270447 360596 450745 540894 811341 901490 1081788 1352235 1622682 1802980 2253725 2704470 3245364 4056705 4507450 5408940 6761175 8113410 9014900 11268625 13522350 16226820 20283525 22537250 27044700 33805875 40567050 45074500 56343125 67611750 81134100 101417625 112686250 135223500 169029375 202835250 225372500 338058750 405670500 507088125 676117500 1014176250 2028352500