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24422021040 = 24355911315263
BaseRepresentation
bin10110101111101010…
…100111011110110000
32100001000100012201210
4112233222213132300
5400004014133130
615115212400120
71523125516344
oct265752473660
970030305653
1024422021040
11a3a265996a
124896a76040
1323c287ac31
1412796d3624
1597e0a45b0
hex5afaa77b0

24422021040 has 160 divisors (see below), whose sum is σ = 77677885440. Its totient is φ = 6345084928.

The previous prime is 24422021003. The next prime is 24422021077. The reversal of 24422021040 is 4012022442.

It is an interprime number because it is at equal distance from previous prime (24422021003) and next prime (24422021077).

It is a super-2 number, since 2×244220210402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24422020998 and 24422021016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592449 + ... + 1607711.

It is an arithmetic number, because the mean of its divisors is an integer number (485486784).

Almost surely, 224422021040 is an apocalyptic number.

24422021040 is a gapful number since it is divisible by the number (20) 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 24422021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38838942720).

24422021040 is an abundant number, since it is smaller than the sum of its proper divisors (53255864400).

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

24422021040 is a wasteful number, since it uses less digits than its factorization.

24422021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15451 (or 15445 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 24422021040 its reverse (4012022442), we get a palindrome (28434043482).

The spelling of 24422021040 in words is "twenty-four billion, four hundred twenty-two million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 113 118 120 177 226 236 240 295 339 354 452 472 565 590 678 708 885 904 944 1130 1180 1356 1416 1695 1770 1808 2260 2360 2712 2832 3390 3540 4520 4720 5424 6667 6780 7080 9040 13334 13560 14160 15263 20001 26668 27120 30526 33335 40002 45789 53336 61052 66670 76315 80004 91578 100005 106672 122104 133340 152630 160008 183156 200010 228945 244208 266680 305260 320016 366312 400020 457890 533360 610520 732624 800040 900517 915780 1221040 1600080 1724719 1801034 1831560 2701551 3449438 3602068 3663120 4502585 5174157 5403102 6898876 7204136 8623595 9005170 10348314 10806204 13507755 13797752 14408272 17247190 18010340 20696628 21612408 25870785 27015510 27595504 34494380 36020680 41393256 43224816 51741570 54031020 68988760 72041360 82786512 101758421 103483140 108062040 137977520 203516842 206966280 216124080 305275263 407033684 413932560 508792105 610550526 814067368 1017584210 1221101052 1526376315 1628134736 2035168420 2442202104 3052752630 4070336840 4884404208 6105505260 8140673680 12211010520 24422021040