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22132222440 = 2335277811821
BaseRepresentation
bin10100100111001011…
…101110100111101000
32010010102200101120020
4110213023232213220
5330311322104230
614100054200440
71412312533566
oct244713564750
963112611506
1022132222440
119428076329
124358053120
132119368213
1410dd55ca36
1589804a810
hex5272ee9e8

22132222440 has 128 divisors (see below), whose sum is σ = 66799797120. Its totient is φ = 5866214400.

The previous prime is 22132222433. The next prime is 22132222451. The reversal of 22132222440 is 4422223122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22132222440.

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, 26957230 + ... + 26958050.

It is an arithmetic number, because the mean of its divisors is an integer number (521873415).

Almost surely, 222132222440 is an apocalyptic number.

22132222440 is a gapful number since it is divisible by the number (20) 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 22132222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33399898560).

22132222440 is an abundant number, since it is smaller than the sum of its proper divisors (44667574680).

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

22132222440 is a wasteful number, since it uses less digits than its factorization.

22132222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22132222440 its reverse (4422223122), we get a palindrome (26554445562).

The spelling of 22132222440 in words is "twenty-two billion, one hundred thirty-two million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 811 821 831 1108 1385 1622 1642 1662 2216 2433 2463 2770 3244 3284 3324 4055 4105 4155 4866 4926 5540 6488 6568 6648 8110 8210 8310 9732 9852 11080 12165 12315 16220 16420 16620 19464 19704 24330 24630 32440 32840 33240 48660 49260 97320 98520 224647 227417 449294 454834 665831 673941 682251 898588 909668 1123235 1137085 1331662 1347882 1364502 1797176 1819336 1997493 2246470 2274170 2663324 2695764 2729004 3329155 3369705 3411255 3994986 4492940 4548340 5326648 5391528 5458008 6658310 6739410 6822510 7989972 8985880 9096680 9987465 13316620 13478820 13645020 15979944 19974930 26633240 26957640 27290040 39949860 79899720 184435187 368870374 553305561 737740748 922175935 1106611122 1475481496 1844351870 2213222244 2766527805 3688703740 4426444488 5533055610 7377407480 11066111220 22132222440