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2268326025 = 35527411301
BaseRepresentation
bin1000011100110011…
…1110100010001001
312212002020220100000
42013030332202021
514121142413100
61013030033213
7110132311260
oct20714764211
95762226300
102268326025
11a64457a09
125337a8809
132a1c35264
141773855d7
15d4216900
hex8733e889

2268326025 has 144 divisors (see below), whose sum is σ = 4936434048. Its totient is φ = 1010880000.

The previous prime is 2268325993. The next prime is 2268326029. The reversal of 2268326025 is 5206238622.

It is not a de Polignac number, because 2268326025 - 25 = 2268325993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2268326029) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1742875 + ... + 1744175.

It is an arithmetic number, because the mean of its divisors is an integer number (34280792).

Almost surely, 22268326025 is an apocalyptic number.

2268326025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2268326025 is an abundant number, since it is smaller than the sum of its proper divisors (2668108023).

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

2268326025 is a wasteful number, since it uses less digits than its factorization.

2268326025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2268326025 is about 47626.9464169182. The cubic root of 2268326025 is about 1313.9186945376.

The spelling of 2268326025 in words is "two billion, two hundred sixty-eight million, three hundred twenty-six thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 41 45 63 75 81 105 123 135 175 189 205 225 243 287 315 369 405 525 567 615 675 861 945 1025 1107 1215 1301 1435 1575 1701 1845 2025 2583 2835 3075 3321 3903 4305 4725 5535 6075 6505 7175 7749 8505 9107 9225 9963 11709 12915 14175 16605 19515 21525 23247 27321 27675 32525 35127 38745 42525 45535 49815 53341 58545 64575 69741 81963 83025 97575 105381 116235 136605 160023 175635 193725 227675 245889 249075 266705 292725 316143 348705 373387 409815 480069 526905 581175 683025 737667 800115 878175 1120161 1229445 1333525 1440207 1580715 1743525 1866935 2049075 2213001 2400345 2634525 3360483 3688335 4000575 4320621 5600805 6147225 7201035 7903575 9334675 10081449 11065005 12001725 12961863 16802415 18441675 21603105 28004025 30244347 36005175 50407245 55325025 64809315 84012075 90733041 108015525 151221735 252036225 324046575 453665205 756108675 2268326025