Search a number
-
+
2224024134420 = 2235119734739521
BaseRepresentation
bin100000010111010010001…
…010110010001100010100
321212121121001210000100210
4200113102022302030110
5242414300134300140
64421411431405420
7316452251141214
oct40272212621424
97777531700323
102224024134420
11788226709830
122bb045223870
13131955b7caaa
1479901490244
153ccba60dd80
hex205d22b2314

2224024134420 has 96 divisors (see below), whose sum is σ = 6863417882496. Its totient is φ = 533599027200.

The previous prime is 2224024134419. The next prime is 2224024134421. The reversal of 2224024134420 is 244314204222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2224024134419) and next prime (2224024134421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224024134421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17305741 + ... + 17433780.

It is an arithmetic number, because the mean of its divisors is an integer number (71493936276).

Almost surely, 22224024134420 is an apocalyptic number.

2224024134420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224024134420 is an abundant number, since it is smaller than the sum of its proper divisors (4639393748076).

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

2224024134420 is a wasteful number, since it uses less digits than its factorization.

2224024134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34739641 (or 34739639 counting only the distinct ones).

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

Adding to 2224024134420 its reverse (244314204222), we get a palindrome (2468338338642).

The spelling of 2224024134420 in words is "two trillion, two hundred twenty-four billion, twenty-four million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 21340 32010 64020 34739521 69479042 104218563 138958084 173697605 208437126 347395210 382134731 416874252 521092815 694790420 764269462 1042185630 1146404193 1528538924 1910673655 2084371260 2292808386 3369733537 3821347310 4585616772 5732020965 6739467074 7642694620 10109200611 11464041930 13478934148 16848667685 20218401222 22928083860 33697335370 37067068907 40436802444 50546003055 67394670740 74134137814 101092006110 111201206721 148268275628 185335344535 202184012220 222402413442 370670689070 444804826884 556006033605 741341378140 1112012067210 2224024134420