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2221222342104 = 233347523418349
BaseRepresentation
bin100000010100101011001…
…010110010110111011000
321212100100210201012212000
4200110223022302313120
5242343030404421404
64420225423321000
7316322650246413
oct40245312626730
97770323635760
102221222342104
11787019117797
122ba5a2a50160
131315ca575b0c
1479717320b7a
153cba466d339
hex2052b2b2dd8

2221222342104 has 128 divisors (see below), whose sum is σ = 6313403520000. Its totient is φ = 723266796672.

The previous prime is 2221222342093. The next prime is 2221222342111. The reversal of 2221222342104 is 4012432221222.

2221222342104 is a `hidden beast` number, since 2 + 2 + 2 + 12 + 223 + 421 + 0 + 4 = 666.

It is a super-2 number, since 2×22212223421042 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5100322 + ... + 5518670.

It is an arithmetic number, because the mean of its divisors is an integer number (49323465000).

Almost surely, 22221222342104 is an apocalyptic number.

2221222342104 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 2221222342104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156701760000).

2221222342104 is an abundant number, since it is smaller than the sum of its proper divisors (4092181177896).

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

2221222342104 is a wasteful number, since it uses less digits than its factorization.

2221222342104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418934 (or 418924 counting only the distinct ones).

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

Adding to 2221222342104 its reverse (4012432221222), we get a palindrome (6233654563326).

The spelling of 2221222342104 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-two million, three hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 523 564 846 1046 1128 1269 1569 1692 2092 2538 3138 3384 4184 4707 5076 6276 9414 10152 12552 14121 18828 24581 28242 37656 49162 56484 73743 98324 112968 147486 196648 221229 294972 418349 442458 589944 663687 836698 884916 1255047 1327374 1673396 1769832 2510094 2654748 3346792 3765141 5020188 5309496 7530282 10040376 11295423 15060564 19662403 22590846 30121128 39324806 45181692 58987209 78649612 90363384 117974418 157299224 176961627 218796527 235948836 353923254 437593054 471897672 530884881 656389581 707846508 875186108 1061769762 1312779162 1415693016 1750372216 1969168743 2123539524 2625558324 3938337486 4247079048 5251116648 5907506229 7876674972 10283436769 11815012458 15753349944 20566873538 23630024916 30850310307 41133747076 47260049832 61700620614 82267494152 92550930921 123401241228 185101861842 246802482456 277652792763 370203723684 555305585526 740407447368 1110611171052 2221222342104