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1089990225 = 3252312712
BaseRepresentation
bin100000011110111…
…1110111001010001
32210222000020111100
41000331332321101
54213014141400
6300054135013
736003523032
oct10075767121
92728006440
101089990225
1150a2a8875
12265051469
13144a8783c
14a4a94a89
1565a5a100
hex40f7ee51

1089990225 has 81 divisors (see below), whose sum is σ = 2046115227. Its totient is φ = 554652000.

The previous prime is 1089990197. The next prime is 1089990227. The reversal of 1089990225 is 5220999801.

The square root of 1089990225 is 33015.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 392396481 + 697593744 = 19809^2 + 26412^2 .

It is not a de Polignac number, because 1089990225 - 29 = 1089989713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1089990227) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 15351940 + ... + 15352010.

Almost surely, 21089990225 is an apocalyptic number.

1089990225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1089990225 is the 33015-th square number.

1089990225 is the 16508-th centered octagonal number.

It is an amenable number.

1089990225 is a deficient number, since it is larger than the sum of its proper divisors (956125002).

1089990225 is an equidigital number, since it uses as much as digits as its factorization.

1089990225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The cubic root of 1089990225 is about 1029.1393901502.

It can be divided in two parts, 10899 and 90225, that added together give a square (101124 = 3182).

The spelling of 1089990225 in words is "one billion, eighty-nine million, nine hundred ninety thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 71 75 93 155 213 225 279 355 465 639 775 961 1065 1395 1775 2201 2325 2883 3195 4805 5041 5325 6603 6975 8649 11005 14415 15123 15975 19809 24025 25205 33015 43245 45369 55025 68231 72075 75615 99045 126025 156271 165075 204693 216225 226845 341155 378075 468813 495225 614079 781355 1023465 1134225 1406439 1705775 2344065 3070395 3906775 4844401 5117325 7032195 11720325 14533203 15351975 24222005 35160975 43599609 72666015 121110025 217998045 363330075 1089990225