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19955800225 = 5219214872
BaseRepresentation
bin10010100101011101…
…010101100010100001
31220111202100200120001
4102211131111202201
5311332141101400
613100110020001
71304344334404
oct224535254241
956452320501
1019955800225
118510590089
123a4b1a7601
131b604a061a
14d7449bd3b
157bbe39a6a
hex4a57558a1

19955800225 has 27 divisors (see below), whose sum is σ = 26133691827. Its totient is φ = 15114224880.

The previous prime is 19955800213. The next prime is 19955800231. The reversal of 19955800225 is 52200855991.

It is a happy number.

The square root of 19955800225 is 141265.

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., 7184088081 + 12771712144 = 84759^2 + 113012^2 .

It is not a de Polignac number, because 19955800225 - 215 = 19955767457 is a prime.

It is a super-2 number, since 2×199558002252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13419432 + ... + 13420918.

Almost surely, 219955800225 is an apocalyptic number.

19955800225 is the 141265-th square number.

19955800225 is the 70633-rd centered octagonal number.

It is an amenable number.

19955800225 is a deficient number, since it is larger than the sum of its proper divisors (6177891602).

19955800225 is an frugal number, since it uses more digits than its factorization.

19955800225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 46.

The spelling of 19955800225 in words is "nineteen billion, nine hundred fifty-five million, eight hundred thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1487 1805 7435 9025 28253 37175 141265 536807 706325 2211169 2684035 11055845 13420175 42012211 55279225 210061055 798232009 1050305275 3991160045 19955800225