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2212514320224 = 253131939185741
BaseRepresentation
bin100000001100100100001…
…000010100111101100000
321211111212221000212112010
4200030210020110331200
5242222212131221344
64412225352232520
7315564111264465
oct40144410247540
97744787025463
102212514320224
1178335a720a9a
122b897269b740
13130840445250
147912c9d166c
153c844e188b9
hex20324214f60

2212514320224 has 96 divisors (see below), whose sum is σ = 6287015768544. Its totient is φ = 677246238720.

The previous prime is 2212514320217. The next prime is 2212514320231. The reversal of 2212514320224 is 4220234152122.

It is an interprime number because it is at equal distance from previous prime (2212514320217) and next prime (2212514320231).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2212514320191 and 2212514320200.

It is a congruent number.

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, 4352007 + ... + 4833734.

It is an arithmetic number, because the mean of its divisors is an integer number (65489747589).

Almost surely, 22212514320224 is an apocalyptic number.

2212514320224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212514320224 is an abundant number, since it is smaller than the sum of its proper divisors (4074501448320).

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

2212514320224 is a wasteful number, since it uses less digits than its factorization.

2212514320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185960 (or 9185952 counting only the distinct ones).

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

Adding to 2212514320224 its reverse (4220234152122), we get a palindrome (6432748472346).

The spelling of 2212514320224 in words is "two trillion, two hundred twelve billion, five hundred fourteen million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 193 208 312 386 416 579 624 772 1158 1248 1544 2316 2509 3088 4632 5018 6176 7527 9264 10036 15054 18528 20072 30108 40144 60216 80288 120432 240864 9185741 18371482 27557223 36742964 55114446 73485928 110228892 119414633 146971856 220457784 238829266 293943712 358243899 440915568 477658532 716487798 881831136 955317064 1432975596 1772848013 1910634128 2865951192 3545696026 3821268256 5318544039 5731902384 7091392052 10637088078 11463804768 14182784104 21274176156 23047024169 28365568208 42548352312 46094048338 56731136416 69141072507 85096704624 92188096676 138282145014 170193409248 184376193352 276564290028 368752386704 553128580056 737504773408 1106257160112 2212514320224