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2265344071236 = 2234836172
BaseRepresentation
bin100000111101110001000…
…001110101011001000100
322000120020201112021210000
4200331301001311121010
5244103411040234421
64452403521201300
7322444223616261
oct40756101653104
98016221467700
102265344071236
117a37aa741944
12307057190230
1313580c52aa4c
147b90108c268
153ddd7e23226
hex20f71075644

2265344071236 has 45 divisors (see below), whose sum is σ = 5922127702029. Its totient is φ = 755105659776.

The previous prime is 2265344071189. The next prime is 2265344071259. The reversal of 2265344071236 is 6321704435622.

The square root of 2265344071236 is 1505106.

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

2265344071236 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 3 + 4 + 407 + 1 + 236 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1682650008900 + 582694062336 = 1297170^2 + 763344^2 .

It is a super-2 number, since 2×22653440712362 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2265344071191 and 2265344071200.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27050100 + ... + 27133716.

Almost surely, 22265344071236 is an apocalyptic number.

2265344071236 is the 1505106-th square number.

It is an amenable number.

2265344071236 is an abundant number, since it is smaller than the sum of its proper divisors (3656783630793).

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

2265344071236 is an frugal number, since it uses more digits than its factorization.

2265344071236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167250 (or 83622 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2265344071236 in words is "two trillion, two hundred sixty-five billion, three hundred forty-four million, seventy-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 83617 167234 250851 334468 501702 752553 1003404 1505106 2257659 3010212 4515318 6772977 9030636 13545954 27091908 6991802689 13983605378 20975408067 27967210756 41950816134 62926224201 83901632268 125852448402 188778672603 251704896804 377557345206 566336017809 755114690412 1132672035618 2265344071236