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2261016225 = 3252137310589
BaseRepresentation
bin1000011011000100…
…0101111010100001
312211120111112011200
42012301011322201
514112310004400
61012205231413
7110013215016
oct20661057241
95746445150
102261016225
11a60314a56
12531262569
132a0576030
1417640170d
15d3770b00
hex86c45ea1

2261016225 has 72 divisors (see below), whose sum is σ = 4421409720. Its totient is φ = 1097763840.

The previous prime is 2261016223. The next prime is 2261016227. The reversal of 2261016225 is 5226101622.

2261016225 is a `hidden beast` number, since 2 + 26 + 10 + 1 + 622 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2261016223) and next prime (2261016227).

It can be written as a sum of positive squares in 12 ways, for example, as 1391886864 + 869129361 = 37308^2 + 29481^2 .

It is not a de Polignac number, because 2261016225 - 21 = 2261016223 is a prime.

It is a super-2 number, since 2×22610162252 = 10224388739426501250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261016221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208231 + ... + 218819.

Almost surely, 22261016225 is an apocalyptic number.

2261016225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2261016225 is a deficient number, since it is larger than the sum of its proper divisors (2160393495).

2261016225 is a wasteful number, since it uses less digits than its factorization.

2261016225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2261016225 is about 47550.1443215475. The cubic root of 2261016225 is about 1312.5057850085.

Adding to 2261016225 its reverse (5226101622), we get a palindrome (7487117847).

The spelling of 2261016225 in words is "two billion, two hundred sixty-one million, sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 73 75 117 195 219 225 325 365 585 657 949 975 1095 1825 2847 2925 3285 4745 5475 8541 10589 14235 16425 23725 31767 42705 52945 71175 95301 137657 158835 213525 264725 412971 476505 688285 772997 794175 1238913 2064855 2318991 2382525 3441425 3864985 6194565 6956973 10048961 10324275 11594955 19324925 30146883 30972825 34784865 50244805 57974775 90440649 150734415 173924325 251224025 452203245 753672075 2261016225