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2212506345264 = 243616983108211
BaseRepresentation
bin100000001100100011101…
…001111001111100110000
321211111212101000200221020
4200030203221321330300
5242222203111022024
64412224505255440
7315563653431045
oct40144351717460
97744771020836
102212506345264
11783356174316
122b896ba94580
1313083b8b2337
147912b9171cc
153c844390979
hex20323a79f30

2212506345264 has 80 divisors (see below), whose sum is σ = 5810226050304. Its totient is φ = 725301331200.

The previous prime is 2212506345233. The next prime is 2212506345307. The reversal of 2212506345264 is 4625436052122.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20392119 + ... + 20500329.

Almost surely, 22212506345264 is an apocalyptic number.

2212506345264 is a gapful number since it is divisible by the number (24) 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 2212506345264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905113025152).

2212506345264 is an abundant number, since it is smaller than the sum of its proper divisors (3597719705040).

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

2212506345264 is a wasteful number, since it uses less digits than its factorization.

2212506345264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115266 (or 115260 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 2212506345264 in words is "two trillion, two hundred twelve billion, five hundred six million, three hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 6983 13966 20949 27932 41898 55864 83796 108211 111728 167592 216422 324633 335184 425963 432844 649266 851926 865688 1277889 1298532 1703852 1731376 2555778 2597064 3407704 5111556 5194128 6600871 6815408 10223112 13201742 19802613 20446224 26403484 39605226 52806968 79210452 105613936 158420904 316841808 755637413 1511274826 2266912239 3022549652 4533824478 6045099304 9067648956 12090198608 18135297912 36270595824 46093882193 92187764386 138281646579 184375528772 276563293158 368751057544 553126586316 737502115088 1106253172632 2212506345264