Search a number
-
+
2242212021 = 327219713769
BaseRepresentation
bin1000010110100101…
…0111000010110101
312210021010011122200
42011221113002311
514043001241041
61010254215113
7106364326200
oct20551270265
95707104580
102242212021
11a50741095
12526ab4499
132996c0c9a
14173b08937
15d1ca91b6
hex85a570b5

2242212021 has 72 divisors (see below), whose sum is σ = 4022740800. Its totient is φ = 1196415360.

The previous prime is 2242212001. The next prime is 2242212031. The reversal of 2242212021 is 1202122422.

It is not a de Polignac number, because 2242212021 - 29 = 2242211509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242211985 and 2242212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242212001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 593025 + ... + 596793.

It is an arithmetic number, because the mean of its divisors is an integer number (55871400).

Almost surely, 22242212021 is an apocalyptic number.

2242212021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2242212021 is a deficient number, since it is larger than the sum of its proper divisors (1780528779).

2242212021 is a wasteful number, since it uses less digits than its factorization.

2242212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2242212021 is about 47352.0012354283. The cubic root of 2242212021 is about 1308.8570768679.

Adding to 2242212021 its reverse (1202122422), we get a palindrome (3444334443).

It can be divided in two parts, 22422 and 12021, that added together give a palindrome (34443).

The spelling of 2242212021 in words is "two billion, two hundred forty-two million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 19 21 49 57 63 71 133 147 171 213 399 441 497 639 931 1197 1349 1491 2793 3479 3769 4047 4473 8379 9443 10437 11307 12141 26383 28329 31311 33921 66101 71611 79149 84987 184681 198303 214833 237447 267599 501277 554043 594909 644499 802797 1503831 1662129 1873193 2408391 3508939 4511493 5084381 5619579 10526817 13112351 15253143 16858737 31580451 35590667 39337053 45759429 106772001 118011159 249134669 320316003 747404007 2242212021