Search a number
-
+
2268029925 = 3252721712101
BaseRepresentation
bin1000011100101111…
…0110001111100101
312212001200212011100
42013023312033211
514121103424200
61013015430313
7110126636100
oct20713661745
95761625140
102268029925
11a642754a7
12533685399
132a1b60555
14177309737
15d41a8d00
hex872f63e5

2268029925 has 108 divisors (see below), whose sum is σ = 5003910756. Its totient is φ = 975744000.

The previous prime is 2268029909. The next prime is 2268029947. The reversal of 2268029925 is 5299208622.

It can be written as a sum of positive squares in 6 ways, for example, as 326922561 + 1941107364 = 18081^2 + 44058^2 .

It is not a de Polignac number, because 2268029925 - 24 = 2268029909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 181375 + ... + 193475.

It is an arithmetic number, because the mean of its divisors is an integer number (46332507).

Almost surely, 22268029925 is an apocalyptic number.

2268029925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2268029925 is an abundant number, since it is smaller than the sum of its proper divisors (2735880831).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2268029925 is a wasteful number, since it uses less digits than its factorization.

2268029925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 12133 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2268029925 is about 47623.8377810945. The cubic root of 2268029925 is about 1313.8615204732.

The spelling of 2268029925 in words is "two billion, two hundred sixty-eight million, twenty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 49 51 63 75 85 105 119 147 153 175 225 245 255 315 357 425 441 525 595 735 765 833 1071 1225 1275 1575 1785 2205 2499 2975 3675 3825 4165 5355 7497 8925 11025 12101 12495 20825 26775 36303 37485 60505 62475 84707 108909 181515 187425 205717 254121 302525 423535 544545 592949 617151 762363 907575 1028585 1270605 1440019 1778847 1851453 2117675 2722725 2964745 3085755 3811815 4320057 5142925 5336541 6353025 7200095 8894235 9257265 10080133 12960171 14823725 15428775 19059075 21600285 26682705 30240399 36000475 44471175 46286325 50400665 64800855 90721197 108001425 133413525 151201995 252003325 324004275 453605985 756009975 2268029925