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4225625186224 = 2413431812610241
BaseRepresentation
bin111101011111011010111…
…000110101111110110000
3112221222002002021201111211
4331133122320311332300
51023213040021424344
612553120404445504
7614201634306631
oct75373270657660
915858062251454
104225625186224
11138a09428a522
12582b553a9894
132486230278a0
14108742829888
1574db8e47334
hex3d7dae35fb0

4225625186224 has 80 divisors (see below), whose sum is σ = 9071822984224. Its totient is φ = 1894407782400.

The previous prime is 4225625186207. The next prime is 4225625186273. The reversal of 4225625186224 is 4226815265224.

It is a happy number.

It is a super-2 number, since 2×42256251862242 (a number of 26 digits) contains 22 as substring.

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, 313744 + ... + 2923984.

Almost surely, 24225625186224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225625186224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535911492112).

4225625186224 is an abundant number, since it is smaller than the sum of its proper divisors (4846197798000).

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

4225625186224 is a wasteful number, since it uses less digits than its factorization.

4225625186224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610486 (or 2610480 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 49.

The spelling of 4225625186224 in words is "four trillion, two hundred twenty-five billion, six hundred twenty-five million, one hundred eighty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 181 208 344 362 559 688 724 1118 1448 2236 2353 2896 4472 4706 7783 8944 9412 15566 18824 31132 37648 62264 101179 124528 202358 404716 809432 1618864 2610241 5220482 10440964 20881928 33933133 41763856 67866266 112240363 135732532 224480726 271465064 448961452 472453621 542930128 897922904 944907242 1459124719 1795845808 1889814484 2918249438 3779628968 5836498876 6141897073 7559257936 11672997752 12283794146 20315505703 23345995504 24567588292 40631011406 49135176584 81262022812 98270353168 162524045624 264101574139 325048091248 528203148278 1056406296556 2112812593112 4225625186224