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2022221221104 = 243779208936469
BaseRepresentation
bin11101011011010101110…
…001110000110011110000
321011022201001222211202010
4131123111301300303300
5231113002113033404
64144555014522520
7266046345524160
oct35332561606360
97138631884663
102022221221104
1170a68a184127
12287b05966440
13118905190806
146dc39b785a0
1537908c58189
hex1d6d5c70cf0

2022221221104 has 160 divisors (see below), whose sum is σ = 6049001728000. Its totient is φ = 570175137792.

The previous prime is 2022221221091. The next prime is 2022221221157. The reversal of 2022221221104 is 4011221222202.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55432182 + ... + 55468650.

It is an arithmetic number, because the mean of its divisors is an integer number (37806260800).

Almost surely, 22022221221104 is an apocalyptic number.

2022221221104 is a gapful number since it is divisible by the number (24) 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 2022221221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024500864000).

2022221221104 is an abundant number, since it is smaller than the sum of its proper divisors (4026780506896).

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

2022221221104 is a wasteful number, since it uses less digits than its factorization.

2022221221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38655 (or 38649 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2022221221104 its reverse (4011221222202), we get a palindrome (6033442443306).

The spelling of 2022221221104 in words is "two trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2089 2212 3318 3792 4178 4424 6267 6636 8356 8848 12534 13272 14623 16712 25068 26544 29246 33424 36469 43869 50136 58492 72938 87738 100272 109407 116984 145876 165031 175476 218814 233968 255283 291752 330062 350952 437628 495093 510566 583504 660124 701904 765849 875256 990186 1021132 1155217 1320248 1531698 1750512 1980372 2042264 2310434 2640496 2881051 3063396 3465651 3960744 4084528 4620868 5762102 6126792 6931302 7921488 8643153 9241736 11524204 12253584 13862604 17286306 18483472 20167357 23048408 27725208 34572612 40334714 46096816 55450416 60502071 69145224 76183741 80669428 121004142 138290448 152367482 161338856 228551223 242008284 304734964 322677712 457102446 484016568 533286187 609469928 914204892 968033136 1066572374 1218939856 1599858561 1828409784 2133144748 3199717122 3656819568 4266289496 6018515539 6399434244 8532578992 12037031078 12798868488 18055546617 24074062156 25597736976 36111093234 42129608773 48148124312 72222186468 84259217546 96296248624 126388826319 144444372936 168518435092 252777652638 288888745872 337036870184 505555305276 674073740368 1011110610552 2022221221104