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22002010020 = 2233546388001
BaseRepresentation
bin10100011111011011…
…000000011110100100
32002210100122220201000
4110133123000132210
5330030003310040
614035123233300
71406141666544
oct243733003644
962710586630
1022002010020
119370619861
124320518830
1320c83a6b53
1410ca145324
1588b8c9130
hex51f6c07a4

22002010020 has 96 divisors (see below), whose sum is σ = 68599319040. Its totient is φ = 5854464000.

The previous prime is 22002010007. The next prime is 22002010033. The reversal of 22002010020 is 2001020022.

It is an interprime number because it is at equal distance from previous prime (22002010007) and next prime (22002010033).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22002009984 and 22002010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206020 + ... + 294020.

It is an arithmetic number, because the mean of its divisors is an integer number (714576240).

Almost surely, 222002010020 is an apocalyptic number.

22002010020 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 22002010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34299659520).

22002010020 is an abundant number, since it is smaller than the sum of its proper divisors (46597309020).

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

22002010020 is a wasteful number, since it uses less digits than its factorization.

22002010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88482 (or 88474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22002010020 its reverse (2001020022), we get a palindrome (24003030042).

The spelling of 22002010020 in words is "twenty-two billion, two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 463 540 926 1389 1852 2315 2778 4167 4630 5556 6945 8334 9260 12501 13890 16668 20835 25002 27780 41670 50004 62505 83340 88001 125010 176002 250020 264003 352004 440005 528006 792009 880010 1056012 1320015 1584018 1760020 2376027 2640030 3168036 3960045 4752054 5280060 7920090 9504108 11880135 15840180 23760270 40744463 47520540 81488926 122233389 162977852 203722315 244466778 366700167 407444630 488933556 611166945 733400334 814889260 1100100501 1222333890 1466800668 1833500835 2200201002 2444667780 3667001670 4400402004 5500502505 7334003340 11001005010 22002010020