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2000000220 = 2235371635527
BaseRepresentation
bin111011100110101…
…1001010011011100
312011101100112112020
41313031121103130
513044000001340
6530242540140
7100363502301
oct16715312334
95141315466
102000000220
11936a47849
12479967650
1325b4774aa
1414d8990a8
15ba8b29d0
hex773594dc

2000000220 has 96 divisors (see below), whose sum is σ = 5787683328. Its totient is φ = 515642112.

The previous prime is 2000000203. The next prime is 2000000227. The reversal of 2000000220 is 220000002.

2000000220 = T10379 + T10380 + ... + T10415.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2000000220 is a modest number, since divided by 220 gives 20 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2000000199 and 2000000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359097 + ... + 364623.

It is an arithmetic number, because the mean of its divisors is an integer number (60288368).

Almost surely, 22000000220 is an apocalyptic number.

2000000220 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 2000000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893841664).

2000000220 is an abundant number, since it is smaller than the sum of its proper divisors (3787683108).

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

2000000220 is a wasteful number, since it uses less digits than its factorization.

2000000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2000000220 is about 44721.3620096705. The cubic root of 2000000220 is about 1259.9210960920.

Adding to 2000000220 its reverse (220000002), we get a palindrome (2220000222).

The spelling of 2000000220 in words is "two billion, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 163 185 222 326 370 444 489 555 652 740 815 978 1110 1630 1956 2220 2445 3260 4890 5527 6031 9780 11054 12062 16581 18093 22108 24124 27635 30155 33162 36186 55270 60310 66324 72372 82905 90465 110540 120620 165810 180930 204499 331620 361860 408998 613497 817996 900901 1022495 1226994 1801802 2044990 2453988 2702703 3067485 3603604 4089980 4504505 5405406 6134970 9009010 10810812 12269940 13513515 18018020 27027030 33333337 54054060 66666674 100000011 133333348 166666685 200000022 333333370 400000044 500000055 666666740 1000000110 2000000220