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22002212000 = 25536190173
BaseRepresentation
bin10100011111011011…
…110001110010100000
32002210101001011202202
4110133123301302200
5330030031241000
614035131432332
71406143500446
oct243733616240
962711034682
1022002212000
11937074758a
1243205b56a8
1320c8447a72
1410ca198b96
1588b918dd5
hex51f6f1ca0

22002212000 has 96 divisors (see below), whose sum is σ = 54946264464. Its totient is φ = 8656512000.

The previous prime is 22002211961. The next prime is 22002212051. The reversal of 22002212000 is 21220022.

It can be written as a sum of positive squares in 8 ways, for example, as 471932176 + 21530279824 = 21724^2 + 146732^2 .

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, 198914 + ... + 289086.

Almost surely, 222002212000 is an apocalyptic number.

22002212000 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 22002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27473132232).

22002212000 is an abundant number, since it is smaller than the sum of its proper divisors (32944052464).

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

22002212000 is an equidigital number, since it uses as much as digits as its factorization.

22002212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90259 (or 90241 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22002212000 its reverse (21220022), we get a palindrome (22023432022).

The spelling of 22002212000 in words is "twenty-two billion, two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 800 976 1000 1220 1525 1952 2000 2440 3050 4000 4880 6100 7625 9760 12200 15250 24400 30500 48800 61000 90173 122000 180346 244000 360692 450865 721384 901730 1442768 1803460 2254325 2885536 3606920 4508650 5500553 7213840 9017300 11001106 11271625 14427680 18034600 22002212 22543250 27502765 36069200 44004424 45086500 55005530 72138400 88008848 90173000 110011060 137513825 176017696 180346000 220022120 275027650 360692000 440044240 550055300 687569125 880088480 1100110600 1375138250 2200221200 2750276500 4400442400 5500553000 11001106000 22002212000