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2212210002000 = 243531201130697
BaseRepresentation
bin100000001100010001111…
…111011100100001010000
321211111002201101220101210
4200030101333130201100
5242221101230031000
64412135241500120
7315553424521365
oct40142177344120
97744081356353
102212210002000
11783213968229
122b88a87a1640
131307c2394aab
147910041646c
153c828355350
hex20311fdc850

2212210002000 has 160 divisors (see below), whose sum is σ = 7132991209344. Its totient is φ = 589854336000.

The previous prime is 2212210001999. The next prime is 2212210002001. The reversal of 2212210002000 is 2000122122.

It is an interprime number because it is at equal distance from previous prime (2212210001999) and next prime (2212210002001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212210002001) by changing a digit.

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, 72050652 + ... + 72081348.

Almost surely, 22212210002000 is an apocalyptic number.

2212210002000 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 2212210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566495604672).

2212210002000 is an abundant number, since it is smaller than the sum of its proper divisors (4920781207344).

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

2212210002000 is a wasteful number, since it uses less digits than its factorization.

2212210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42734 (or 42718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2212210002000 its reverse (2000122122), we get a palindrome (2214210124122).

The spelling of 2212210002000 in words is "two trillion, two hundred twelve billion, two hundred ten million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 12011 24022 30697 36033 48044 60055 61394 72066 92091 96088 120110 122788 144132 153485 180165 184182 192176 240220 245576 288264 300275 306970 360330 368364 460455 480440 491152 576528 600550 613940 720660 736728 767425 900825 920910 960880 1201100 1227880 1441320 1473456 1501375 1534850 1801650 1841820 2302275 2402200 2455760 2882640 3002750 3069700 3603300 3683640 3837125 4504125 4604550 4804400 6005500 6139400 7206600 7367280 7674250 9008250 9209100 11511375 12011000 12278800 14413200 15348500 18016500 18418200 23022750 24022000 30697000 36033000 36836400 46045500 61394000 72066000 92091000 184182000 368701667 737403334 1106105001 1474806668 1843508335 2212210002 2949613336 3687016670 4424420004 5530525005 5899226672 7374033340 8848840008 9217541675 11061050010 14748066680 17697680016 18435083350 22122100020 27652625025 29496133360 36870166700 44244200040 46087708375 55305250050 73740333400 88488400080 92175416750 110610500100 138263125125 147480666800 184350833500 221221000200 276526250250 368701667000 442442000400 553052500500 737403334000 1106105001000 2212210002000