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20222404040016 = 243517233018709
BaseRepresentation
bin1001001100100011001010…
…01101011001010101010000
32122121020120002220100100000
410212101211031121111100
510122310440413240031
6111002013312330000
74155010011123543
oct446214515312520
978536502810300
1020222404040016
11649730097a092
1223272a2243900
13b38c7007c309
144dcaaba1685a
152510701493e6
hex126465359550

20222404040016 has 120 divisors (see below), whose sum is σ = 58724825155360. Its totient is φ = 6736886868096.

The previous prime is 20222404039961. The next prime is 20222404040039. The reversal of 20222404040016 is 61004040422202.

20222404040016 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 240 + 4 + 0 + 400 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5189670 + ... + 8208378.

Almost surely, 220222404040016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222404040016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29362412577680).

20222404040016 is an abundant number, since it is smaller than the sum of its proper divisors (38502421115344).

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

20222404040016 is a wasteful number, since it uses less digits than its factorization.

20222404040016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020455 (or 3020437 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20222404040016 its reverse (61004040422202), we get a palindrome (81226444462218).

The spelling of 20222404040016 in words is "twenty trillion, two hundred twenty-two billion, four hundred four million, forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1723 1944 3446 3888 5169 6892 10338 13784 15507 20676 27568 31014 41352 46521 62028 82704 93042 124056 139563 186084 248112 279126 372168 418689 558252 744336 837378 1116504 1674756 2233008 3018709 3349512 6037418 6699024 9056127 12074836 18112254 24149672 27168381 36224508 48299344 54336762 72449016 81505143 108673524 144898032 163010286 217347048 244515429 326020572 434694096 489030858 652041144 733546287 978061716 1304082288 1467092574 1956123432 2934185148 3912246864 5201235607 5868370296 10402471214 11736740592 15603706821 20804942428 31207413642 41609884856 46811120463 62414827284 83219769712 93622240926 124829654568 140433361389 187244481852 249659309136 280866722778 374488963704 421300084167 561733445556 748977927408 842600168334 1123466891112 1263900252501 1685200336668 2246933782224 2527800505002 3370400673336 5055601010004 6740801346672 10111202020008 20222404040016