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2013224220 = 223457177533
BaseRepresentation
bin111011111111111…
…0101110100011100
312012022020101110000
41313333311310130
513110341133340
6531434214300
7100614060240
oct16777656434
95168211400
102013224220
1194345a177
12482284390
13261127647
1415153c420
15bbb25d30
hex77ff5d1c

2013224220 has 120 divisors (see below), whose sum is σ = 7217822304. Its totient is φ = 460162944.

The previous prime is 2013224209. The next prime is 2013224221. The reversal of 2013224220 is 224223102.

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 = 2013224193 and 2013224202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013224221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77427 + ... + 100106.

Almost surely, 22013224220 is an apocalyptic number.

2013224220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013224220 is an abundant number, since it is smaller than the sum of its proper divisors (5204598084).

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

2013224220 is a wasteful number, since it uses less digits than its factorization.

2013224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177561 (or 177550 counting only the distinct ones).

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

The square root of 2013224220 is about 44868.9672268039. The cubic root of 2013224220 is about 1262.6918640537.

Adding to 2013224220 its reverse (224223102), we get a palindrome (2237447322).

The spelling of 2013224220 in words is "two billion, thirteen million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 177533 355066 532599 710132 887665 1065198 1242731 1597797 1775330 2130396 2485462 2662995 3195594 3550660 3728193 4793391 4970924 5325990 6213655 6391188 7456386 7988985 9586782 10651980 11184579 12427310 14380173 14912772 15977970 18640965 19173564 22369158 23966955 24854620 28760346 31955940 33553737 37281930 44738316 47933910 55922895 57520692 67107474 71900865 74563860 95867820 100661211 111845790 134214948 143801730 167768685 201322422 223691580 287603460 335537370 402644844 503306055 671074740 1006612110 2013224220