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2240420200020 = 2232512446778889
BaseRepresentation
bin100000100110100011011…
…100110011111001010100
321221011220201212110000200
4200212203130303321110
5243201340032400040
64433122420140500
7320602462325562
oct40464334637124
97834821773020
102240420200020
1179417a882572
12302260237730
131333699ca862
147a618c80a32
153d429c8c630
hex209a3733e54

2240420200020 has 36 divisors (see below), whose sum is σ = 6795941273940. Its totient is φ = 597445386624.

The previous prime is 2240420200019. The next prime is 2240420200037. The reversal of 2240420200020 is 200020240422.

2240420200020 is a `hidden beast` number, since 2 + 2 + 40 + 420 + 200 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 765390517956 + 1475029682064 = 874866^2 + 1214508^2 .

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

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 = 2240420199966 and 2240420200002.

It is a congruent number.

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, 6223389265 + ... + 6223389624.

Almost surely, 22240420200020 is an apocalyptic number.

2240420200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240420200020 is an abundant number, since it is smaller than the sum of its proper divisors (4555521073920).

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

2240420200020 is a wasteful number, since it uses less digits than its factorization.

2240420200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446778904 (or 12446778899 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2240420200020 its reverse (200020240422), we get a palindrome (2440440440442).

The spelling of 2240420200020 in words is "two trillion, two hundred forty billion, four hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12446778889 24893557778 37340336667 49787115556 62233894445 74680673334 112021010001 124467788890 149361346668 186701683335 224042020002 248935577780 373403366670 448084040004 560105050005 746806733340 1120210100010 2240420200020