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2240783425 = 52293509601
BaseRepresentation
bin1000010110001111…
…1010010001000001
312210011102120222201
42011203322101001
514042120032200
61010203433201
7106346226166
oct20543722101
95704376881
102240783425
11a4a955831
12526525801
1329931096a
1417385606d
15d1ac5c6a
hex858fa441

2240783425 has 24 divisors (see below), whose sum is σ = 2798180280. Its totient is φ = 1780032000.

The previous prime is 2240783417. The next prime is 2240783431. The reversal of 2240783425 is 5243870422.

It can be written as a sum of positive squares in 12 ways, for example, as 21242881 + 2219540544 = 4609^2 + 47112^2 .

It is not a de Polignac number, because 2240783425 - 23 = 2240783417 is a prime.

It is a super-2 number, since 2×22407834252 = 10042220715509461250, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3728125 + ... + 3728725.

It is an arithmetic number, because the mean of its divisors is an integer number (116590845).

Almost surely, 22240783425 is an apocalyptic number.

2240783425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2240783425 is a deficient number, since it is larger than the sum of its proper divisors (557396855).

2240783425 is a wasteful number, since it uses less digits than its factorization.

2240783425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The square root of 2240783425 is about 47336.9139784165. The cubic root of 2240783425 is about 1308.5790441009.

The spelling of 2240783425 in words is "two billion, two hundred forty million, seven hundred eighty-three thousand, four hundred twenty-five".

Divisors: 1 5 25 293 509 601 1465 2545 3005 7325 12725 15025 149137 176093 305909 745685 880465 1529545 3728425 4402325 7647725 89631337 448156685 2240783425