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22011214104 = 2335111029331
BaseRepresentation
bin10100011111111110…
…000111100100011000
32002210222222112100000
4110133332013210120
5330034332322404
614040052413000
71406313142605
oct243776074430
962728875300
1022011214104
119375835a40
124323617160
1320ca27a359
1410cb45d6ac
1588c5e6339
hex51ff87918

22011214104 has 96 divisors (see below), whose sum is σ = 67441832640. Its totient is φ = 6670058400.

The previous prime is 22011214097. The next prime is 22011214111. The reversal of 22011214104 is 40141211022.

22011214104 is a `hidden beast` number, since 220 + 11 + 21 + 410 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22011214097) and next prime (22011214111).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 493282 + ... + 536049.

It is an arithmetic number, because the mean of its divisors is an integer number (702519090).

Almost surely, 222011214104 is an apocalyptic number.

22011214104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22011214104 is an abundant number, since it is smaller than the sum of its proper divisors (45430618536).

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

22011214104 is a wasteful number, since it uses less digits than its factorization.

22011214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029363 (or 1029347 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22011214104 its reverse (40141211022), we get a palindrome (62152425126).

It can be divided in two parts, 2201121 and 4104, that added together give a square (2205225 = 14852).

The spelling of 22011214104 in words is "twenty-two billion, eleven million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10692 21384 1029331 2058662 3087993 4117324 6175986 8234648 9263979 11322641 12351972 18527958 22645282 24703944 27791937 33967923 37055916 45290564 55583874 67935846 74111832 83375811 90581128 101903769 111167748 135871692 166751622 203807538 222335496 250127433 271743384 305711307 333503244 407615076 500254866 611422614 667006488 815230152 917133921 1000509732 1222845228 1834267842 2001019464 2445690456 2751401763 3668535684 5502803526 7337071368 11005607052 22011214104