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22438201240 = 23571319324439
BaseRepresentation
bin10100111001011010…
…111100011110011000
32010220202102201120101
4110321122330132120
5331423134414430
614150304305144
71423016364220
oct247132743630
963822381511
1022438201240
119574863774
1244226121b4
13216787a470
14112c04b080
158b4d3adca
hex5396bc798

22438201240 has 128 divisors (see below), whose sum is σ = 65407104000. Its totient is φ = 6727546368.

The previous prime is 22438201237. The next prime is 22438201243. The reversal of 22438201240 is 4210283422.

It is an interprime number because it is at equal distance from previous prime (22438201237) and next prime (22438201243).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22438201199 and 22438201208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22438201243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93060 + ... + 231379.

It is an arithmetic number, because the mean of its divisors is an integer number (510993000).

Almost surely, 222438201240 is an apocalyptic number.

22438201240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22438201240 is an abundant number, since it is smaller than the sum of its proper divisors (42968902760).

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

22438201240 is a wasteful number, since it uses less digits than its factorization.

22438201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324489 (or 324485 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 22438201240 its reverse (4210283422), we get a palindrome (26648484662).

The spelling of 22438201240 in words is "twenty-two billion, four hundred thirty-eight million, two hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 34580 69160 324439 648878 1297756 1622195 2271073 2595512 3244390 4217707 4542146 6164341 6488780 8435414 9084292 11355365 12328682 12977560 16870828 18168584 21088535 22710730 24657364 29523949 30821705 33741656 42177070 43150387 45421460 49314728 59047898 61643410 80136433 84354140 86300774 90842920 118095796 123286820 147619745 160272866 168708280 172601548 215751935 236191592 246573640 295239490 320545732 345203096 400682165 431503870 560955031 590478980 641091464 801364330 863007740 1121910062 1180957960 1602728660 1726015480 2243820124 2804775155 3205457320 4487640248 5609550310 11219100620 22438201240