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203140400220 = 223255331916673
BaseRepresentation
bin1011110100110000011…
…1001000010001011100
3201102100012111112201200
42331030013020101130
511312012420301340
6233153231435500
720451002624532
oct2751407102134
9642305445650
10203140400220
117917350738a
1233453385b90
1316204b20c64
149b911d4152
15543deed330
hex2f4c1c845c

203140400220 has 144 divisors (see below), whose sum is σ = 628109681472. Its totient is φ = 53124065280.

The previous prime is 203140400149. The next prime is 203140400233. The reversal of 203140400220 is 22004041302.

203140400220 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 40 + 400 + 220 = 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 = 203140400193 and 203140400202.

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 47 ways as a sum of consecutive naturals, for example, 30438804 + ... + 30445476.

It is an arithmetic number, because the mean of its divisors is an integer number (4361872788).

Almost surely, 2203140400220 is an apocalyptic number.

203140400220 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 203140400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314054840736).

203140400220 is an abundant number, since it is smaller than the sum of its proper divisors (424969281252).

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

203140400220 is a wasteful number, since it uses less digits than its factorization.

203140400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9927 counting only the distinct ones).

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

Adding to 203140400220 its reverse (22004041302), we get a palindrome (225144441522).

The spelling of 203140400220 in words is "two hundred three billion, one hundred forty million, four hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 3191 4770 6382 6673 9540 9573 12764 13346 15955 19146 20019 26692 28719 31910 33365 38292 40038 47865 57438 60057 63820 66730 80076 95730 100095 114876 120114 133460 143595 169123 191460 200190 240228 287190 300285 338246 353669 400380 507369 574380 600570 676492 707338 845615 1014738 1061007 1201140 1414676 1522107 1691230 1768345 2029476 2122014 2536845 3044214 3183021 3382460 3536690 4244028 5073690 5305035 6088428 6366042 7073380 7610535 10147380 10610070 12732084 15221070 15915105 21220140 21293543 30442140 31830210 42587086 63660420 63880629 85174172 106467715 127761258 191641887 212935430 255522516 319403145 383283774 425870860 638806290 766567548 958209435 1128557779 1277612580 1916418870 2257115558 3385673337 3832837740 4514231116 5642788895 6771346674 10157020011 11285577790 13542693348 16928366685 20314040022 22571155580 33856733370 40628080044 50785100055 67713466740 101570200110 203140400220