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2220214100 = 2252131938849
BaseRepresentation
bin1000010001010101…
…1100011101010100
312201201201120011212
42010111130131110
514021333322400
61004150520552
7106006336256
oct20425343524
95651646155
102220214100
11a3a286795
1251b666158
13294c8b370
14170c1dcd6
15cedb1335
hex8455c754

2220214100 has 72 divisors (see below), whose sum is σ = 5215942200. Its totient is φ = 815431680.

The previous prime is 2220214099. The next prime is 2220214109. The reversal of 2220214100 is 14120222.

It can be written as a sum of positive squares in 12 ways, for example, as 1979716036 + 240498064 = 44494^2 + 15508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220214109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246476 + ... + 255324.

Almost surely, 22220214100 is an apocalyptic number.

2220214100 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 2220214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607971100).

2220214100 is an abundant number, since it is smaller than the sum of its proper divisors (2995728100).

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

2220214100 is a wasteful number, since it uses less digits than its factorization.

2220214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2220214100 is about 47119.1479124994. The cubic root of 2220214100 is about 1304.5626852929.

Adding to 2220214100 its reverse (14120222), we get a palindrome (2234334322).

The spelling of 2220214100 in words is "two billion, two hundred twenty million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 193 260 325 386 650 772 965 1300 1930 2509 3860 4825 5018 8849 9650 10036 12545 17698 19300 25090 35396 44245 50180 62725 88490 115037 125450 176980 221225 230074 250900 442450 460148 575185 884900 1150370 1707857 2300740 2875925 3415714 5751850 6831428 8539285 11503700 17078570 22202141 34157140 42696425 44404282 85392850 88808564 111010705 170785700 222021410 444042820 555053525 1110107050 2220214100