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2213332223440 = 245135933588877
BaseRepresentation
bin100000001101010100111…
…000011000010111010000
321211120222221001122210211
4200031110320120113100
5242230401022122230
64412442450533504
7315623302325122
oct40152470302720
97746887048724
102213332223440
1178373a37a868
122b8b60597294
13130940a26050
14791a949b212
153c891b2a42a
hex20354e185d0

2213332223440 has 80 divisors (see below), whose sum is σ = 5551190357328. Its totient is φ = 815852003328.

The previous prime is 2213332223437. The next prime is 2213332223551. The reversal of 2213332223440 is 443222333122.

It can be written as a sum of positive squares in 8 ways, for example, as 33965015616 + 2179367207824 = 184296^2 + 1476268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177719 + ... + 2411158.

Almost surely, 22213332223440 is an apocalyptic number.

2213332223440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213332223440 is an abundant number, since it is smaller than the sum of its proper divisors (3337858133888).

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

2213332223440 is a wasteful number, since it uses less digits than its factorization.

2213332223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589496 (or 3589490 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 2213332223440 its reverse (443222333122), we get a palindrome (2656554556562).

The spelling of 2213332223440 in words is "two trillion, two hundred thirteen billion, three hundred thirty-two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 593 1040 1186 2372 2965 4744 5930 7709 9488 11860 15418 23720 30836 38545 47440 61672 77090 123344 154180 308360 616720 3588877 7177754 14355508 17944385 28711016 35888770 46655401 57422032 71777540 93310802 143555080 186621604 233277005 287110160 373243208 466554010 746486416 933108020 1866216040 2128204061 3732432080 4256408122 8512816244 10641020305 17025632488 21282040610 27666652793 34051264976 42564081220 55333305586 85128162440 110666611172 138333263965 170256324880 221333222344 276666527930 442666444688 553333055860 1106666111720 2213332223440