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2220302122020 = 2232537333378697
BaseRepresentation
bin100000010011110100010…
…100011011110000100100
321212020222200011012012200
4200103310110123300210
5242334134320401040
64415554232014500
7316261104434133
oct40236424336044
97766880135180
102220302122020
11786696734824
122ba386831430
131314b1a1caa8
147966b01d91a
153cb4d99a630
hex204f451bc24

2220302122020 has 72 divisors (see below), whose sum is σ = 6916941226104. Its totient is φ = 576078386688.

The previous prime is 2220302122019. The next prime is 2220302122021. The reversal of 2220302122020 is 202212030222.

2220302122020 is a `hidden beast` number, since 2 + 220 + 30 + 212 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2220302122019) and next prime (2220302122021).

It can be written as a sum of positive squares in 4 ways, for example, as 276753853476 + 1943548268544 = 526074^2 + 1394112^2 .

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 = 2220302121984 and 2220302122002.

It is not an unprimeable number, because it can be changed into a prime (2220302122021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 166682689 + ... + 166696008.

Almost surely, 22220302122020 is an apocalyptic number.

2220302122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220302122020 is an abundant number, since it is smaller than the sum of its proper divisors (4696639104084).

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

2220302122020 is a wasteful number, since it uses less digits than its factorization.

2220302122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333378749 (or 333378744 counting only the distinct ones).

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

Adding to 2220302122020 its reverse (202212030222), we get a palindrome (2422514152242).

The spelling of 2220302122020 in words is "two trillion, two hundred twenty billion, three hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 333378697 666757394 1000136091 1333514788 1666893485 2000272182 3000408273 3333786970 4000544364 5000680455 6000816546 6667573940 10001360910 12001633092 12335011789 15002041365 20002721820 24670023578 30004082730 37005035367 49340047156 60008165460 61675058945 74010070734 111015106101 123350117890 148020141468 185025176835 222030212202 246700235780 370050353670 444060424404 555075530505 740100707340 1110151061010 2220302122020