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2263404325 = 5272133292
BaseRepresentation
bin1000011011101000…
…1100111100100101
312211201222212000211
42012322030330211
514113412414300
61012332335421
7110042422300
oct20672147445
95751885024
102263404325
11a616a6196
12532014571
132a0c01000
14176863b37
15d3a934ba
hex86e8cf25

2263404325 has 108 divisors (see below), whose sum is σ = 3662955660. Its totient is φ = 1383258240.

The previous prime is 2263404323. The next prime is 2263404331. The reversal of 2263404325 is 5234043622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2263404325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 2051818209 + 211586116 = 45297^2 + 14546^2 .

It is not a de Polignac number, because 2263404325 - 21 = 2263404323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263404323) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 78048411 + ... + 78048439.

Almost surely, 22263404325 is an apocalyptic number.

2263404325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2263404325 is a deficient number, since it is larger than the sum of its proper divisors (1399551335).

2263404325 is an equidigital number, since it uses as much as digits as its factorization.

2263404325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 2263404325 is about 47575.2490797473. The cubic root of 2263404325 is about 1312.9677147896.

Adding to 2263404325 its reverse (5234043622), we get a palindrome (7497447947).

The spelling of 2263404325 in words is "two billion, two hundred sixty-three million, four hundred four thousand, three hundred twenty-five".

Divisors: 1 5 7 13 25 29 35 49 65 91 145 169 175 203 245 325 377 455 637 725 841 845 1015 1183 1225 1421 1885 2197 2275 2639 3185 4205 4225 4901 5075 5887 5915 7105 8281 9425 10933 10985 13195 15379 15925 18473 21025 24505 29435 29575 34307 35525 41209 41405 54665 54925 63713 65975 76531 76895 92365 107653 122525 142129 147175 171535 206045 207025 240149 273325 318565 382655 384475 445991 461825 535717 538265 710645 857675 994903 1030225 1200745 1592825 1847677 1913275 2229955 2678585 2691325 3121937 3553225 4974515 6003725 6964321 9238385 11149775 12933739 13392925 15609685 24872575 34821605 46191925 64668695 78048425 90536173 174108025 323343475 452680865 2263404325