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2245012213224 = 23311370279621
BaseRepresentation
bin100000101010110101001…
…001111100110111101000
321221121202202112212220210
4200222311021330313220
5243240241111310344
64435202215021120
7321124331645304
oct40526511746750
97847682485823
102245012213224
1179611695a000
1230312206a7a0
1313391c17c731
147a932a9cd04
153d5e7ea3db9
hex20ab527cde8

2245012213224 has 64 divisors (see below), whose sum is σ = 6173361996480. Its totient is φ = 680306721600.

The previous prime is 2245012213183. The next prime is 2245012213237. The reversal of 2245012213224 is 4223122105422.

2245012213224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2245012213191 and 2245012213200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35107867 + ... + 35171754.

It is an arithmetic number, because the mean of its divisors is an integer number (96458781195).

Almost surely, 22245012213224 is an apocalyptic number.

2245012213224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2245012213224 is an abundant number, since it is smaller than the sum of its proper divisors (3928349783256).

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

2245012213224 is a wasteful number, since it uses less digits than its factorization.

2245012213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70279663 (or 70279637 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2245012213224 its reverse (4223122105422), we get a palindrome (6468134318646).

The spelling of 2245012213224 in words is "two trillion, two hundred forty-five billion, twelve million, two hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 31944 70279621 140559242 210838863 281118484 421677726 562236968 773075831 843355452 1546151662 1686710904 2319227493 3092303324 4638454986 6184606648 8503834141 9276909972 17007668282 18553819944 25511502423 34015336564 51023004846 68030673128 93542175551 102046009692 187084351102 204092019384 280626526653 374168702204 561253053306 748337404408 1122506106612 2245012213224