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2262601625 = 53130113913
BaseRepresentation
bin1000011011011100…
…1000111110011001
312211200111001221012
42012313020332121
514113211223000
61012303223305
7110032540124
oct20667107631
95750431835
102262601625
11a611a80a9
125318a7b35
132a09ac83b
141766d53bb
15d3985735
hex86dc8f99

2262601625 has 16 divisors (see below), whose sum is σ = 2826100368. Its totient is φ = 1808560000.

The previous prime is 2262601613. The next prime is 2262601631. The reversal of 2262601625 is 5261062622.

It can be written as a sum of positive squares in 8 ways, for example, as 1399358464 + 863243161 = 37408^2 + 29381^2 .

It is not a de Polignac number, because 2262601625 - 212 = 2262597529 is a prime.

It is a super-2 number, since 2×22626016252 = 10238732226905281250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2262601591 and 2262601600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155669 + ... + 169581.

It is an arithmetic number, because the mean of its divisors is an integer number (176631273).

Almost surely, 22262601625 is an apocalyptic number.

2262601625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2262601625 is a deficient number, since it is larger than the sum of its proper divisors (563498743).

2262601625 is a wasteful number, since it uses less digits than its factorization.

2262601625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15229 (or 15219 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2262601625 is about 47566.8122223888. The cubic root of 2262601625 is about 1312.8124849314.

The spelling of 2262601625 in words is "two billion, two hundred sixty-two million, six hundred one thousand, six hundred twenty-five".

Divisors: 1 5 25 125 1301 6505 13913 32525 69565 162625 347825 1739125 18100813 90504065 452520325 2262601625