Search a number
-
+
2130422044224 = 26331764354437
BaseRepresentation
bin11111000000000111000…
…011001001011001000000
321112122222202221011102110
4133000013003021121000
5234401101020403344
64310411414015320
7306626562406035
oct37000703113100
97478882834373
102130422044224
11751563781aa1
122a4a82047540
13125b899c81c6
147518201b38c
153a63ce0b3b9
hex1f0070c9640

2130422044224 has 112 divisors (see below), whose sum is σ = 5663421183168. Its totient is φ = 706786572288.

The previous prime is 2130422044217. The next prime is 2130422044249. The reversal of 2130422044224 is 4224402240312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2130422044191 and 2130422044200.

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, 39108334 + ... + 39162770.

It is an arithmetic number, because the mean of its divisors is an integer number (50566260564).

Almost surely, 22130422044224 is an apocalyptic number.

2130422044224 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 2130422044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831710591584).

2130422044224 is an abundant number, since it is smaller than the sum of its proper divisors (3532999138944).

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

2130422044224 is a wasteful number, since it uses less digits than its factorization.

2130422044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55412 (or 55402 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2130422044224 its reverse (4224402240312), we get a palindrome (6354824284536).

The spelling of 2130422044224 in words is "two trillion, one hundred thirty billion, four hundred twenty-two million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 317 634 643 951 1268 1286 1902 1929 2536 2572 3804 3858 5072 5144 7608 7716 10144 10288 15216 15432 20288 20576 30432 30864 41152 54437 60864 61728 108874 123456 163311 203831 217748 326622 407662 435496 611493 653244 815324 870992 1222986 1306488 1630648 1741984 2445972 2612976 3261296 3483968 4891944 5225952 6522592 9783888 10451904 13045184 17256529 19567776 34513058 35002991 39135552 51769587 69026116 70005982 103539174 105008973 138052232 140011964 207078348 210017946 276104464 280023928 414156696 420035892 552208928 560047856 828313392 840071784 1104417856 1120095712 1656626784 1680143568 2240191424 3313253568 3360287136 6720574272 11095948147 22191896294 33287844441 44383792588 66575688882 88767585176 133151377764 177535170352 266302755528 355070340704 532605511056 710140681408 1065211022112 2130422044224