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522252225 = 335211371901
BaseRepresentation
bin11111001000001…
…110111111000001
31100101201011101000
4133020032333001
52032144032400
6123453402213
715641033145
oct3710167701
91311634330
10522252225
11248885910
12126a99369
13842766b1
144d509225
1530cb1600
hex1f20efc1

522252225 has 96 divisors (see below), whose sum is σ = 1075466880. Its totient is φ = 246240000.

The previous prime is 522252197. The next prime is 522252229.

522252225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 522252225 - 25 = 522252193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (522252229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273775 + ... + 275675.

It is an arithmetic number, because the mean of its divisors is an integer number (11202780).

Almost surely, 2522252225 is an apocalyptic number.

522252225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

522252225 is an abundant number, since it is smaller than the sum of its proper divisors (553214655).

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

522252225 is a wasteful number, since it uses less digits than its factorization.

522252225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1957 counting only the distinct ones).

The product of its digits is 8000, while the sum is 27.

The square root of 522252225 is about 22852.8384451472. The cubic root of 522252225 is about 805.3044512810.

The spelling of 522252225 in words is "five hundred twenty-two million, two hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 37 45 55 75 99 111 135 165 185 225 275 297 333 407 495 555 675 825 925 999 1221 1485 1665 1901 2035 2475 2775 3663 4995 5703 6105 7425 8325 9505 10175 10989 17109 18315 20911 24975 28515 30525 47525 51327 54945 62733 70337 85545 91575 104555 142575 188199 211011 256635 274725 313665 351685 427725 522775 564597 633033 773707 940995 1055055 1283175 1568325 1758425 1899099 2321121 2822985 3165165 3868535 4704975 5275275 6963363 9495495 11605605 14114925 15825825 19342675 20890089 34816815 47477475 58028025 104450445 174084075 522252225