Search a number
-
+
2242126425 = 352711439029
BaseRepresentation
bin1000010110100100…
…0010001001011001
312210020221211020110
42011221002021121
514042441021200
61010252314533
7106363521510
oct20551021131
95706854213
102242126425
11a50692850
12526a72a49
13299691036
14173ac5677
15d1c8db50
hex85a42259

2242126425 has 96 divisors (see below), whose sum is σ = 4729697280. Its totient is φ = 910022400.

The previous prime is 2242126423. The next prime is 2242126489. The reversal of 2242126425 is 5246212422.

It is not a de Polignac number, because 2242126425 - 21 = 2242126423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242126392 and 2242126401.

It is not an unprimeable number, because it can be changed into a prime (2242126423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243811 + ... + 252839.

It is an arithmetic number, because the mean of its divisors is an integer number (49267680).

Almost surely, 22242126425 is an apocalyptic number.

2242126425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2242126425 is an abundant number, since it is smaller than the sum of its proper divisors (2487570855).

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

2242126425 is a wasteful number, since it uses less digits than its factorization.

2242126425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9103 (or 9098 counting only the distinct ones).

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

The square root of 2242126425 is about 47351.0974001659. The cubic root of 2242126425 is about 1308.8404215360.

Adding to 2242126425 its reverse (5246212422), we get a palindrome (7488338847).

The spelling of 2242126425 in words is "two billion, two hundred forty-two million, one hundred twenty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 43 55 75 77 105 129 165 175 215 231 275 301 385 473 525 645 825 903 1075 1155 1419 1505 1925 2365 3225 3311 4515 5775 7095 7525 9029 9933 11825 16555 22575 27087 35475 45145 49665 63203 82775 99319 135435 189609 225725 248325 297957 316015 388247 496595 677175 695233 948045 1164741 1489785 1580075 1941235 2085699 2482975 2717729 3476165 4270717 4740225 5823705 7448925 8153187 9706175 10428495 12812151 13588645 17380825 21353585 29118525 29895019 40765935 52142475 64060755 67943225 89685057 106767925 149475095 203829675 320303775 448425285 747375475 2242126425