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1099917225 = 3452112672
BaseRepresentation
bin100000110001111…
…0110011110101001
32211122200120210000
41001203312132221
54223034322400
6301051013213
736154066521
oct10143663651
92748616700
101099917225
11514969100
1226843a209
13146b520c4
14a611a681
156686b600
hex418f67a9

1099917225 has 135 divisors (see below), whose sum is σ = 2273409831. Its totient is φ = 525333600.

The previous prime is 1099917223. The next prime is 1099917233. The reversal of 1099917225 is 5227199901.

The square root of 1099917225 is 33165.

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., 395970201 + 703947024 = 19899^2 + 26532^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1099917225 - 21 = 1099917223 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 (1099917223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16416642 + ... + 16416708.

Almost surely, 21099917225 is an apocalyptic number.

1099917225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1099917225 is the 33165-th square number.

1099917225 is the 16583-rd centered octagonal number.

It is an amenable number.

1099917225 is an abundant number, since it is smaller than the sum of its proper divisors (1173492606).

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

1099917225 is an equidigital number, since it uses as much as digits as its factorization.

1099917225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The cubic root of 1099917225 is about 1032.2542217806.

It can be divided in two parts, 10999 and 17225, that added together give a square (28224 = 1682).

The spelling of 1099917225 in words is "one billion, ninety-nine million, nine hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 67 75 81 99 121 135 165 201 225 275 297 335 363 405 495 603 605 675 737 825 891 1005 1089 1485 1675 1809 1815 2025 2211 2475 3015 3025 3267 3685 4455 4489 5025 5427 5445 6633 7425 8107 9045 9075 9801 11055 13467 15075 16335 18425 19899 22275 22445 24321 27135 27225 33165 40401 40535 45225 49005 49379 55275 59697 67335 72963 81675 99495 112225 121203 121605 135675 148137 165825 202005 202675 218889 245025 246895 298485 336675 363609 364815 444411 497475 543169 606015 608025 656667 740685 1010025 1094445 1234475 1333233 1492425 1629507 1818045 1824075 2222055 2715845 3030075 3283335 3703425 3999699 4888521 5472225 6666165 8147535 9090225 11110275 13579225 14665563 16416675 19998495 24442605 33330825 40737675 43996689 73327815 99992475 122213025 219983445 366639075 1099917225