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52299225 = 325211217113
BaseRepresentation
bin1100011110000…
…0010111011001
310122102002001100
43013200113121
5101342033400
65104542013
71203351606
oct307402731
9118362040
1052299225
1127581200
1215621909
13aab1ab4
146d356ad
1548d1100
hex31e05d9

52299225 has 108 divisors (see below), whose sum is σ = 109985148. Its totient is φ = 23654400.

The previous prime is 52299197. The next prime is 52299227.

52299225 = T86 + T87 + ... + T679.

52299225 is nontrivially palindromic in base 10.

52299225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5184729 + 47114496 = 2277^2 + 6864^2 .

It is not a de Polignac number, because 52299225 - 212 = 52295129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52299225.

It is not an unprimeable number, because it can be changed into a prime (52299227) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 462769 + ... + 462881.

It is an arithmetic number, because the mean of its divisors is an integer number (1018381).

Almost surely, 252299225 is an apocalyptic number.

52299225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52299225 is an abundant number, since it is smaller than the sum of its proper divisors (57685923).

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

52299225 is a wasteful number, since it uses less digits than its factorization.

52299225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 52299225 is about 7231.8203102677. The cubic root of 52299225 is about 373.9656831258.

The spelling of 52299225 in words is "fifty-two million, two hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 113 121 153 165 187 225 255 275 339 363 425 495 561 565 605 765 825 935 1017 1089 1243 1275 1683 1695 1815 1921 2057 2475 2805 2825 3025 3729 3825 4675 5085 5445 5763 6171 6215 8415 8475 9075 9605 10285 11187 13673 14025 17289 18513 18645 21131 25425 27225 28815 30855 31075 41019 42075 48025 51425 55935 63393 68365 86445 92565 93225 105655 123057 144075 154275 190179 205095 232441 279675 316965 341825 432225 462825 528275 615285 697323 950895 1025475 1162205 1584825 2091969 3076425 3486615 4754475 5811025 10459845 17433075 52299225