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110898990225 = 32521494
BaseRepresentation
bin110011101001000011…
…0000100110010010001
3101121020202000102010100
41213102012010302101
53304110120141400
6122540222123013
711004115602132
oct1472206046221
9347222012110
10110898990225
1143039652841
12195aba20469
13a5c482ba9a
145520759c89
152d40ec5100
hex19d2184c91

110898990225 has 45 divisors (see below), whose sum is σ = 199974524503. Its totient is φ = 58749174240.

The previous prime is 110898990217. The next prime is 110898990263. The reversal of 110898990225 is 522099898011.

The square root of 110898990225 is 333015.

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

It can be written as a sum of positive squares in 7 ways, for example, as 105203571201 + 5695419024 = 324351^2 + 75468^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 110898990225 - 23 = 110898990217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 744288451 + ... + 744288599.

Almost surely, 2110898990225 is an apocalyptic number.

110898990225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

110898990225 is the 333015-th square number.

110898990225 is the 166508-th centered octagonal number.

It is an amenable number.

110898990225 is a deficient number, since it is larger than the sum of its proper divisors (89075534278).

110898990225 is an frugal number, since it uses more digits than its factorization.

110898990225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 110898990225 in words is "one hundred ten billion, eight hundred ninety-eight million, nine hundred ninety thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 149 225 447 745 1341 2235 3725 6705 11175 22201 33525 66603 111005 199809 333015 555025 999045 1665075 3307949 4995225 9923847 16539745 29771541 49619235 82698725 148857705 248096175 492884401 744288525 1478653203 2464422005 4435959609 7393266015 12322110025 22179798045 36966330075 110898990225