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2052005220 = 2232540128429
BaseRepresentation
bin111101001001111…
…0001110101100100
312022000012122222100
41322103301311210
513200303131340
6535341332100
7101564520336
oct17223616544
95260178870
102052005220
11963337991
12493267030
13269185395
14156755456
15c0236830
hex7a4f1d64

2052005220 has 72 divisors (see below), whose sum is σ = 6240157560. Its totient is φ = 545817600.

The previous prime is 2052005209. The next prime is 2052005239. The reversal of 2052005220 is 225002502.

It can be written as a sum of positive squares in 4 ways, for example, as 621804096 + 1430201124 = 24936^2 + 37818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2052005193 and 2052005202.

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, 57966 + ... + 86394.

It is an arithmetic number, because the mean of its divisors is an integer number (86668855).

Almost surely, 22052005220 is an apocalyptic number.

2052005220 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 2052005220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120078780).

2052005220 is an abundant number, since it is smaller than the sum of its proper divisors (4188152340).

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

2052005220 is a wasteful number, since it uses less digits than its factorization.

2052005220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28845 (or 28840 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2052005220 is about 45299.0642287454. The cubic root of 2052005220 is about 1270.7481528096.

Adding to 2052005220 its reverse (225002502), we get a palindrome (2277007722).

The spelling of 2052005220 in words is "two billion, fifty-two million, five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1604 2005 2406 3609 4010 4812 6015 7218 8020 12030 14436 18045 24060 28429 36090 56858 72180 85287 113716 142145 170574 255861 284290 341148 426435 511722 568580 852870 1023444 1279305 1705740 2558610 5117220 11400029 22800058 34200087 45600116 57000145 68400174 102600261 114000290 136800348 171000435 205200522 228000580 342000870 410401044 513001305 684001740 1026002610 2052005220