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245226266240 = 2751816921089
BaseRepresentation
bin1110010001100010011…
…1111101111010000000
3212102222020111001111012
43210120213331322000
513004210411004430
6304353321540052
723500635604424
oct3443047757200
9772866431435
10245226266240
1194aaa91a43a
123b639944628
131a181082c67
14bc2480cb84
1565a3ba9695
hex39189fde80

245226266240 has 64 divisors (see below), whose sum is σ = 586304109000. Its totient is φ = 98080456704.

The previous prime is 245226266221. The next prime is 245226266249. The reversal of 245226266240 is 42662622542.

245226266240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 220456542784 + 24769723456 = 469528^2 + 157384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2452262662402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245226266249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11617616 + ... + 11638704.

Almost surely, 2245226266240 is an apocalyptic number.

245226266240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245226266240 is an abundant number, since it is smaller than the sum of its proper divisors (341077842760).

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

245226266240 is a wasteful number, since it uses less digits than its factorization.

245226266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39277 (or 39265 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

Adding to 245226266240 its reverse (42662622542), we get a palindrome (287888888782).

The spelling of 245226266240 in words is "two hundred forty-five billion, two hundred twenty-six million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 18169 21089 36338 42178 72676 84356 90845 105445 145352 168712 181690 210890 290704 337424 363380 421780 581408 674848 726760 843560 1162816 1349696 1453520 1687120 2325632 2699392 2907040 3374240 5814080 6748480 11628160 13496960 383166041 766332082 1532664164 1915830205 3065328328 3831660410 6130656656 7663320820 12261313312 15326641640 24522626624 30653283280 49045253248 61306566560 122613133120 245226266240