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2254345306260 = 2235414817190243
BaseRepresentation
bin100000110011100001011…
…100111000000010010100
321222111212012102010200020
4200303201130320002110
5243413344344300020
64443344255345140
7321604530636135
oct40634134700224
97874765363606
102254345306260
1179a076177a33
12304aa78221b0
131347789465a8
147b17a41dc8c
153d992529c40
hex20ce1738094

2254345306260 has 96 divisors (see below), whose sum is σ = 6467498497152. Its totient is φ = 586371502080.

The previous prime is 2254345306231. The next prime is 2254345306267. The reversal of 2254345306260 is 626035434522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254345306267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11754699 + ... + 11944941.

It is an arithmetic number, because the mean of its divisors is an integer number (67369776012).

Almost surely, 22254345306260 is an apocalyptic number.

2254345306260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254345306260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233749248576).

2254345306260 is an abundant number, since it is smaller than the sum of its proper divisors (4213153190892).

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

2254345306260 is a wasteful number, since it uses less digits than its factorization.

2254345306260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195113 (or 195111 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 2254345306260 in words is "two trillion, two hundred fifty-four billion, three hundred forty-five million, three hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4817 9634 14451 19268 24085 28902 48170 57804 72255 96340 144510 190243 197497 289020 380486 394994 570729 592491 760972 789988 951215 987485 1141458 1184982 1902430 1974970 2282916 2369964 2853645 2962455 3804860 3949940 5707290 5924910 7799963 11414580 11849820 15599926 23399889 31199852 38999815 46799778 77999630 93599556 116999445 155999260 233998890 467997780 916400531 1832801062 2749201593 3665602124 4582002655 5498403186 9164005310 10996806372 13746007965 18328010620 27492015930 37572421771 54984031860 75144843542 112717265313 150289687084 187862108855 225434530626 375724217710 450869061252 563586326565 751448435420 1127172653130 2254345306260