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2235640825 = 5211233741233
BaseRepresentation
bin1000010101000001…
…0010101111111001
312202210202022200001
42011100102233321
514034311001300
61005501313001
7106254430165
oct20520225771
95683668601
102235640825
11a47a63050
12524865761
1329822ccc2
14172cb7ca5
15d140c16a
hex85412bf9

2235640825 has 96 divisors (see below), whose sum is σ = 3334286592. Its totient is φ = 1469952000.

The previous prime is 2235640807. The next prime is 2235640831. The reversal of 2235640825 is 5280465322.

It is not a de Polignac number, because 2235640825 - 25 = 2235640793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9594909 + ... + 9595141.

It is an arithmetic number, because the mean of its divisors is an integer number (34732152).

Almost surely, 22235640825 is an apocalyptic number.

2235640825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2235640825 is a deficient number, since it is larger than the sum of its proper divisors (1098645767).

2235640825 is a wasteful number, since it uses less digits than its factorization.

2235640825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 2235640825 is about 47282.5636466552. The cubic root of 2235640825 is about 1307.5772139434.

The spelling of 2235640825 in words is "two billion, two hundred thirty-five million, six hundred forty thousand, eight hundred twenty-five".

Divisors: 1 5 11 23 25 37 41 55 115 185 205 233 253 275 407 451 575 851 925 943 1025 1165 1265 1517 2035 2255 2563 4255 4715 5359 5825 6325 7585 8621 9361 9553 10175 10373 11275 12815 16687 21275 23575 26795 34891 37925 43105 46805 47765 51865 58949 64075 83435 94831 105083 133975 174455 198283 215525 219719 234025 238825 259325 294745 353461 383801 417175 474155 525415 872275 991415 1098595 1473725 1767305 1919005 2181113 2370775 2416909 2627075 3888071 4957075 5492975 8129603 8836525 9595025 10905565 12084545 19440355 40648015 54527825 60422725 89425633 97201775 203240075 447128165 2235640825