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2228002020 = 2232512377789
BaseRepresentation
bin1000010011001100…
…1001110011100100
312202021101020012100
42010303021303210
514030332031040
61005025452100
7106132463466
oct20463116344
95667336170
102228002020
11a43715992
125221a1030
132967870ba
14171c8a136
15d08edb30
hex84cc9ce4

2228002020 has 36 divisors (see below), whose sum is σ = 6758273340. Its totient is φ = 594133824.

The previous prime is 2228001991. The next prime is 2228002037. The reversal of 2228002020 is 202008222.

It can be written as a sum of positive squares in 2 ways, for example, as 441756324 + 1786245696 = 21018^2 + 42264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22280020202 = 9927986002248160800, which contains 22 as substring.

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 = 2228001984 and 2228002002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6188715 + ... + 6189074.

It is an arithmetic number, because the mean of its divisors is an integer number (187729815).

Almost surely, 22228002020 is an apocalyptic number.

2228002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2228002020 is an abundant number, since it is smaller than the sum of its proper divisors (4530271320).

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

2228002020 is a wasteful number, since it uses less digits than its factorization.

2228002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12377804 (or 12377799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2228002020 is about 47201.7162823557. The cubic root of 2228002020 is about 1306.0862581167.

The spelling of 2228002020 in words is "two billion, two hundred twenty-eight million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12377789 24755578 37133367 49511156 61888945 74266734 111400101 123777890 148533468 185666835 222800202 247555780 371333670 445600404 557000505 742667340 1114001010 2228002020