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22011444444 = 2231131972533
BaseRepresentation
bin10100011111111110…
…111111110011011100
32002211000102020022010
4110133332333303130
5330034412210234
614040101351220
71406315122263
oct243776776334
962730366263
1022011444444
119375983000
124323708510
1320ca32b152
1410cb4bd5da
1588c63e6e9
hex51ffbfcdc

22011444444 has 96 divisors (see below), whose sum is σ = 59466274560. Its totient is φ = 6318987840.

The previous prime is 22011444443. The next prime is 22011444449. The reversal of 22011444444 is 44444411022.

It is a super-2 number, since 2×220114444442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011444443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267202 + ... + 339734.

It is an arithmetic number, because the mean of its divisors is an integer number (619440360).

Almost surely, 222011444444 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 22011444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733137280).

22011444444 is an abundant number, since it is smaller than the sum of its proper divisors (37454830116).

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

22011444444 is a wasteful number, since it uses less digits than its factorization.

22011444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72592 (or 72568 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 22011444444 its reverse (44444411022), we get a palindrome (66455855466).

The spelling of 22011444444 in words is "twenty-two billion, eleven million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 484 627 726 836 1254 1331 1452 2299 2508 2662 3993 4598 5324 6897 7986 9196 13794 15972 25289 27588 50578 72533 75867 101156 145066 151734 217599 290132 303468 435198 797863 870396 1378127 1595726 2393589 2756254 3191452 4134381 4787178 5512508 8268762 8776493 9574356 15159397 16537524 17552986 26329479 30318794 35105972 45478191 52658958 60637588 90956382 96541423 105317916 166753367 181912764 193082846 289624269 333506734 386165692 500260101 579248538 667013468 1000520202 1158497076 1834287037 2001040404 3668574074 5502861111 7337148148 11005722222 22011444444