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20240024220 = 223251317508799
BaseRepresentation
bin10010110110011001…
…100100001010011100
31221020120011202120200
4102312121210022130
5312422421233340
613144221543500
71314365236653
oct226631441234
957216152520
1020240024220
118646a69849
123b0a414b90
131ba73367c0
14da012619a
157d6d7e330
hex4b666429c

20240024220 has 144 divisors (see below), whose sum is σ = 70006809600. Its totient is φ = 4689082368.

The previous prime is 20240024213. The next prime is 20240024239. The reversal of 20240024220 is 2242004202.

20240024220 is a `hidden beast` number, since 2 + 0 + 2 + 400 + 242 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20240024193 and 20240024202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214620 + ... + 294179.

It is an arithmetic number, because the mean of its divisors is an integer number (486158400).

Almost surely, 220240024220 is an apocalyptic number.

20240024220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20240024220 is an abundant number, since it is smaller than the sum of its proper divisors (49766785380).

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

20240024220 is a wasteful number, since it uses less digits than its factorization.

20240024220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508844 (or 508839 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20240024220 its reverse (2242004202), we get a palindrome (22482028422).

The spelling of 20240024220 in words is "twenty billion, two hundred forty million, twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 508799 1017598 1526397 2035196 2543995 3052794 4579191 5087990 6105588 6614387 7631985 8649583 9158382 10175980 13228774 15263970 17299166 18316764 19843161 22895955 25948749 26457548 30527940 33071935 34598332 39686322 43247915 45791910 51897498 59529483 66143870 77846247 79372644 86495830 91583820 99215805 103794996 112444579 119058966 129743745 132287740 155692494 172991660 198431610 224889158 238117932 259487490 297647415 311384988 337333737 389231235 396863220 449778316 518974980 562222895 595294830 674667474 778462470 1012001211 1124445790 1190589660 1349334948 1556924940 1686668685 2024002422 2248891580 3373337370 4048004844 5060006055 6746674740 10120012110 20240024220