Search a number
-
+
20222242131440 = 245412463324781
BaseRepresentation
bin1001001100100010110111…
…00011110000110111110000
32122121020010211020112112002
410212101123203300313300
510122310122441201230
6111001545250153132
74155003003665066
oct446213343606760
978536124215462
1020222242131440
116497228543848
122327257b827a8
13b38c45670c1b
144dca9430c036
15251060d16545
hex12645b8f0df0

20222242131440 has 120 divisors (see below), whose sum is σ = 48295665409344. Its totient is φ = 7874537932800.

The previous prime is 20222242131439. The next prime is 20222242131449. The reversal of 20222242131440 is 4413124222202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222242131449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62101850 + ... + 62426630.

Almost surely, 220222242131440 is an apocalyptic number.

20222242131440 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 20222242131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147832704672).

20222242131440 is an abundant number, since it is smaller than the sum of its proper divisors (28073423277904).

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

20222242131440 is a wasteful number, since it uses less digits than its factorization.

20222242131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325339 (or 325292 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 20222242131440 its reverse (4413124222202), we get a palindrome (24635366353642).

The spelling of 20222242131440 in words is "twenty trillion, two hundred twenty-two billion, two hundred forty-two million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 463 656 820 926 1640 1681 1852 2315 3280 3362 3704 4630 6724 7408 8405 9260 13448 16810 18520 18983 26896 33620 37040 37966 67240 75932 94915 134480 151864 189830 303728 324781 379660 649562 759320 778303 1299124 1518640 1556606 1623905 2598248 3113212 3247810 3891515 5196496 6226424 6495620 7783030 12452848 12991240 13316021 15566060 25982480 26632042 31132120 53264084 62264240 66580105 106528168 133160210 150373603 213056336 266320420 300747206 532640840 545956861 601494412 751868015 1065281680 1091913722 1202988824 1503736030 2183827444 2405977648 2729784305 3007472060 4367654888 5459568610 6014944120 6165317723 8735309776 10919137220 12029888240 12330635446 21838274440 24661270892 30826588615 43676548880 49322541784 61653177230 98645083568 123306354460 246612708920 252778026643 493225417840 505556053286 1011112106572 1263890133215 2022224213144 2527780266430 4044448426288 5055560532860 10111121065720 20222242131440