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20143040220 = 22325227599823
BaseRepresentation
bin10010110000100111…
…100110011011011100
31220222210200110112200
4102300213212123130
5312223104241340
613130435131500
71312110005532
oct226047463334
956883613480
1020143040220
1185a7248286
123aa1a43b90
131b9020aa14
14d912bc152
157cd5c3330
hex4b09e66dc

20143040220 has 144 divisors (see below), whose sum is σ = 61546867200. Its totient is φ = 5332399488.

The previous prime is 20143040213. The next prime is 20143040231. The reversal of 20143040220 is 2204034102.

20143040220 is a `hidden beast` number, since 201 + 43 + 0 + 402 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20143040193 and 20143040202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24474729 + ... + 24475551.

It is an arithmetic number, because the mean of its divisors is an integer number (427408800).

Almost surely, 220143040220 is an apocalyptic number.

20143040220 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 20143040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30773433600).

20143040220 is an abundant number, since it is smaller than the sum of its proper divisors (41403826980).

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

20143040220 is a wasteful number, since it uses less digits than its factorization.

20143040220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20143040220 its reverse (2204034102), we get a palindrome (22347074322).

The spelling of 20143040220 in words is "twenty billion, one hundred forty-three million, forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 599 681 823 908 1135 1198 1362 1646 1797 2043 2270 2396 2469 2724 2995 3292 3405 3594 4086 4115 4540 4938 5391 5990 6810 7188 7407 8172 8230 8985 9876 10215 10782 11980 12345 13620 14814 16460 17970 20430 21564 24690 26955 29628 35940 37035 40860 49380 53910 74070 107820 135973 148140 186821 271946 373642 407919 492977 543892 560463 679865 747284 815838 934105 985954 1120926 1223757 1359730 1478931 1631676 1681389 1868210 1971908 2039595 2241852 2447514 2464885 2719460 2802315 2957862 3362778 3736420 4079190 4436793 4895028 4929770 5604630 5915724 6118785 6725556 7394655 8158380 8406945 8873586 9859540 11209260 12237570 14789310 16813890 17747172 22183965 24475140 29578620 33627780 44367930 88735860 111905779 223811558 335717337 447623116 559528895 671434674 1007152011 1119057790 1342869348 1678586685 2014304022 2238115580 3357173370 4028608044 5035760055 6714346740 10071520110 20143040220