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2240220753 = 33721311503
BaseRepresentation
bin1000010110000111…
…0000111001010001
312210010101000011000
42011201300321101
514041444031003
61010143412213
7106341363561
oct20541607121
95703330130
102240220753
11a4a601011
125262b4069
13299174814
1417374ada1
15d1a141a3
hex85870e51

2240220753 has 16 divisors (see below), whose sum is σ = 3319594240. Its totient is φ = 1493143632.

The previous prime is 2240220733. The next prime is 2240220761. The reversal of 2240220753 is 3570220422.

2240220753 is a `hidden beast` number, since 2 + 2 + 402 + 207 + 53 = 666.

It is not a de Polignac number, because 2240220753 - 25 = 2240220721 is a prime.

It is a super-3 number, since 3×22402207533 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2240220733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189000 + ... + 200502.

It is an arithmetic number, because the mean of its divisors is an integer number (207474640).

Almost surely, 22240220753 is an apocalyptic number.

It is an amenable number.

2240220753 is a deficient number, since it is larger than the sum of its proper divisors (1079373487).

2240220753 is a wasteful number, since it uses less digits than its factorization.

2240220753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18725 (or 18719 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2240220753 is about 47330.9703365566. The cubic root of 2240220753 is about 1308.4695046696.

The spelling of 2240220753 in words is "two billion, two hundred forty million, two hundred twenty thousand, seven hundred fifty-three".

Divisors: 1 3 9 27 7213 11503 21639 34509 64917 103527 194751 310581 82971139 248913417 746740251 2240220753