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228011025025 = 527419492
BaseRepresentation
bin1101010001011010000…
…1000010001010000001
3210210112110222012010201
43110112201002022001
512213431310300100
6252425151325201
722321216510000
oct3242641021201
9723473865121
10228011025025
1188776308963
1238234520801
13186695ca1b4
14b070300c37
155de766736a
hex3516842281

228011025025 has 45 divisors (see below), whose sum is σ = 330005643881. Its totient is φ = 156270196320.

The previous prime is 228011025017. The next prime is 228011025041. The reversal of 228011025025 is 520520110822.

The square root of 228011025025 is 477505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7839862849 + 220171162176 = 88543^2 + 469224^2 .

It is not a de Polignac number, because 228011025025 - 23 = 228011025017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 228011024984 and 228011025002.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 116987751 + ... + 116989699.

Almost surely, 2228011025025 is an apocalyptic number.

228011025025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228011025025 is the 477505-th square number.

228011025025 is the 238753-rd centered octagonal number.

It is an amenable number.

228011025025 is a deficient number, since it is larger than the sum of its proper divisors (101994618856).

228011025025 is an frugal number, since it uses more digits than its factorization.

228011025025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 228011025025 its reverse (520520110822), we get a palindrome (748531135847).

The spelling of 228011025025 in words is "two hundred twenty-eight billion, eleven million, twenty-five thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 1949 2401 8575 9745 12005 13643 48725 60025 68215 95501 341075 477505 668507 2387525 3342535 3798601 4679549 16712675 18993005 23397745 26590207 94965025 116988725 132951035 186131449 664755175 930657245 1302920143 4653286225 6514600715 9120441001 32573003575 45602205005 228011025025