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20224131060 = 2235750395731
BaseRepresentation
bin10010110101011100…
…111011111111110100
31221012110021022021010
4102311130323333310
5312404334143220
613142453152220
71314113164140
oct226534737764
957173238233
1020224131060
118638aa4001
123b0502b670
131ba3c60773
14d9bd8a220
157d57901e0
hex4b573bff4

20224131060 has 96 divisors (see below), whose sum is σ = 64846559232. Its totient is φ = 4613420160.

The previous prime is 20224131023. The next prime is 20224131121. The reversal of 20224131060 is 6013142202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163395 + ... + 259125.

It is an arithmetic number, because the mean of its divisors is an integer number (675484992).

Almost surely, 220224131060 is an apocalyptic number.

20224131060 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 20224131060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32423279616).

20224131060 is an abundant number, since it is smaller than the sum of its proper divisors (44622428172).

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

20224131060 is a wasteful number, since it uses less digits than its factorization.

20224131060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96253 (or 96251 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20224131060 its reverse (6013142202), we get a palindrome (26237273262).

The spelling of 20224131060 in words is "twenty billion, two hundred twenty-four million, one hundred thirty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 503 1006 1509 2012 2515 3018 3521 5030 6036 7042 7545 10060 10563 14084 15090 17605 21126 30180 35210 42252 52815 70420 95731 105630 191462 211260 287193 382924 478655 574386 670117 957310 1148772 1340234 1435965 1914620 2010351 2680468 2871930 3350585 4020702 5743860 6701170 8041404 10051755 13402340 20103510 40207020 48152693 96305386 144458079 192610772 240763465 288916158 337068851 481526930 577832316 674137702 722290395 963053860 1011206553 1348275404 1444580790 1685344255 2022413106 2889161580 3370688510 4044826212 5056032765 6741377020 10112065530 20224131060