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22250214324240 = 2435717779069129
BaseRepresentation
bin1010000111100100010000…
…00111101111100000010000
32220210002200200201000022220
411003302020013233200100
510404021414331333430
6115153335104301040
74454345024133510
oct503621007574020
986702620630286
1022250214324240
1170a9298a19041
1225b42a7911780
13c55256138166
1456ccb7b8d840
15288ba48b6110
hex143c881ef810

22250214324240 has 160 divisors (see below), whose sum is σ = 83466350311680. Its totient is φ = 4786600722432.

The previous prime is 22250214324161. The next prime is 22250214324241. The reversal of 22250214324240 is 4242341205222.

It is a super-2 number, since 2×222502143242402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22250214324241) 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, 389506005 + ... + 389563124.

It is an arithmetic number, because the mean of its divisors is an integer number (521664689448).

Almost surely, 222250214324240 is an apocalyptic number.

22250214324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22250214324240 is an abundant number, since it is smaller than the sum of its proper divisors (61216135987440).

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

22250214324240 is a wasteful number, since it uses less digits than its factorization.

22250214324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779069169 (or 779069163 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 22250214324240 its reverse (4242341205222), we get a palindrome (26492555529462).

The spelling of 22250214324240 in words is "twenty-two trillion, two hundred fifty billion, two hundred fourteen million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 779069129 1558138258 2337207387 3116276516 3895345645 4674414774 5453483903 6232553032 7790691290 9348829548 10906967806 11686036935 12465106064 13244175193 15581382580 16360451709 18697659096 21813935612 23372073870 26488350386 27267419515 31162765160 32720903418 37395318192 39732525579 43627871224 46744147740 52976700772 54534839030 62325530320 65441806836 66220875965 79465051158 81802258545 87255742448 92709226351 93488295480 105953401544 109069678060 130883613672 132441751930 158930102316 163604517090 185418452702 186976590960 198662627895 211906803088 218139356120 261767227344 264883503860 278127679053 317860204632 327209034180 370836905404 397325255790 436278712240 463546131755 529767007720 556255358106 635720409264 654418068360 741673810808 794650511580 927092263510 1059534015440 1112510716212 1308836136720 1390638395265 1483347621616 1589301023160 1854184527020 2225021432424 2781276790530 3178602046320 3708369054040 4450042864848 5562553581060 7416738108080 11125107162120 22250214324240