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2240224003021 is a prime number
BaseRepresentation
bin100000100110010111110…
…000011000001111001101
321221011102001200121100011
4200212113300120033031
5243200434321044041
64433051131033221
7320564560560634
oct40462760301715
97834361617304
102240224003021
1179408a057894
1230220659b811
13133338175564
147a5dabac51b
153d417934e81
hex20997c183cd

2240224003021 has 2 divisors, whose sum is σ = 2240224003022. Its totient is φ = 2240224003020.

The previous prime is 2240224002997. The next prime is 2240224003079. The reversal of 2240224003021 is 1203004220422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2232890649796 + 7333353225 = 1494286^2 + 85635^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240224003021 - 27 = 2240224002893 is a prime.

It is a super-2 number, since 2×22402240030212 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2240224002983 and 2240224003001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2240224603021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120112001510 + 1120112001511.

It is an arithmetic number, because the mean of its divisors is an integer number (1120112001511).

Almost surely, 22240224003021 is an apocalyptic number.

It is an amenable number.

2240224003021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240224003021 is an equidigital number, since it uses as much as digits as its factorization.

2240224003021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2240224003021 its reverse (1203004220422), we get a palindrome (3443228223443).

The spelling of 2240224003021 in words is "two trillion, two hundred forty billion, two hundred twenty-four million, three thousand, twenty-one".