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20002230000 = 243254222247
BaseRepresentation
bin10010101000001110…
…011100111011110000
31220121222201120020100
4102220032130323300
5311431032330000
613104445112400
71305450102234
oct225016347360
956558646210
1020002230000
1185348124a5
123a62858700
131b69ca896c
14d7a7065c4
157c105ba00
hex4a839cef0

20002230000 has 150 divisors (see below), whose sum is σ = 69951002264. Its totient is φ = 5333904000.

The previous prime is 20002229999. The next prime is 20002230043. The reversal of 20002230000 is 3220002.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 21124 + ... + 201123.

Almost surely, 220002230000 is an apocalyptic number.

20002230000 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 20002230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34975501132).

20002230000 is an abundant number, since it is smaller than the sum of its proper divisors (49948772264).

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

20002230000 is a wasteful number, since it uses less digits than its factorization.

20002230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222281 (or 222257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 20002230000 its reverse (3220002), we get a palindrome (20005450002).

The spelling of 20002230000 in words is "twenty billion, two million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 222247 444494 666741 888988 1111235 1333482 1777976 2000223 2222470 2666964 3333705 3555952 4000446 4444940 5333928 5556175 6667410 8000892 8889880 10001115 10667856 11112350 13334820 16001784 16668525 17779760 20002230 22224700 26669640 27780875 32003568 33337050 40004460 44449400 50005575 53339280 55561750 66674100 80008920 83342625 88898800 100011150 111123500 133348200 138904375 160017840 166685250 200022300 222247000 250027875 266696400 277808750 333370500 400044600 416713125 444494000 500055750 555617500 666741000 800089200 833426250 1000111500 1111235000 1250139375 1333482000 1666852500 2000223000 2222470000 2500278750 3333705000 4000446000 5000557500 6667410000 10001115000 20002230000