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2372323855225 = 521923125232
BaseRepresentation
bin100010100001011001100…
…001010100101101111001
322101210101022212101122211
4202201121201110231321
5302332004401331400
65013455221215121
7333252253025242
oct42413141245571
98353338771584
102372323855225
11835107a73a65
123239325614a1
1314292b0b588c
1482b6d0c5cc9
1541a99cd1dba
hex22859854b79

2372323855225 has 81 divisors (see below), whose sum is σ = 3214182103119. Its totient is φ = 1736645767200.

The previous prime is 2372323855199. The next prime is 2372323855243. The reversal of 2372323855225 is 5225583232732.

The square root of 2372323855225 is 1540235.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 854036587881 + 1518287267344 = 924141^2 + 1232188^2 .

It is not a de Polignac number, because 2372323855225 - 25 = 2372323855193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4535991814 + ... + 4535992336.

Almost surely, 22372323855225 is an apocalyptic number.

2372323855225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2372323855225 is the 1540235-th square number.

2372323855225 is the 770118-th centered octagonal number.

It is an amenable number.

2372323855225 is a deficient number, since it is larger than the sum of its proper divisors (841858247894).

2372323855225 is an frugal number, since it uses more digits than its factorization.

2372323855225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 578 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 49.

Multiplying 2372323855225 by its sum of digits (49), we get a square (116243868906025 = 107816452).

The spelling of 2372323855225 in words is "two trillion, three hundred seventy-two billion, three hundred twenty-three million, eight hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 19 25 31 95 155 361 475 523 589 775 961 1805 2615 2945 4805 9025 9937 11191 13075 14725 16213 18259 24025 49685 55955 81065 91295 188803 248425 273529 279775 308047 346921 405325 456475 502603 944015 1367645 1540235 1734605 2513015 4720075 5197051 5852893 6838225 7701175 8479399 8673025 9549457 12565075 25985255 29264465 42396995 47747285 98743969 129926275 146322325 161108581 181439683 211984975 238736425 262861369 493719845 805542905 907198415 1314306845 2468599225 3061063039 4027714525 4535992075 4994366011 6571534225 15305315195 24971830055 76526575975 94892954209 124859150275 474464771045 2372323855225