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2252505060 = 2232513962609
BaseRepresentation
bin1000011001000010…
…0111111111100100
312210222111010001100
42012100213333210
514103120130220
61011303000100
7106550656101
oct20620477744
95728433040
102252505060
11a56531433
1252a439030
1329b886040
14175227aa8
15d2b3dd90
hex86427fe4

2252505060 has 72 divisors (see below), whose sum is σ = 7358190840. Its totient is φ = 554462208.

The previous prime is 2252505041. The next prime is 2252505061. The reversal of 2252505060 is 605052522.

2252505060 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 464230116 + 1788274944 = 21546^2 + 42288^2 .

It is not an unprimeable number, because it can be changed into a prime (2252505061) 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, 478965 + ... + 483644.

It is an arithmetic number, because the mean of its divisors is an integer number (102197095).

Almost surely, 22252505060 is an apocalyptic number.

2252505060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252505060 is an abundant number, since it is smaller than the sum of its proper divisors (5105685780).

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

2252505060 is a wasteful number, since it uses less digits than its factorization.

2252505060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962637 (or 962632 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2252505060 is about 47460.5632077834. The cubic root of 2252505060 is about 1310.8568215117.

Adding to 2252505060 its reverse (605052522), we get a palindrome (2857557582).

The spelling of 2252505060 in words is "two billion, two hundred fifty-two million, five hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 962609 1925218 2887827 3850436 4813045 5775654 8663481 9626090 11551308 12513917 14439135 17326962 19252180 25027834 28878270 34653924 37541751 43317405 50055668 57756540 62569585 75083502 86634810 112625253 125139170 150167004 173269620 187708755 225250506 250278340 375417510 450501012 563126265 750835020 1126252530 2252505060