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2242603431 = 322367971667
BaseRepresentation
bin1000010110101011…
…0110100110100111
312210021212001120100
42011222312212213
514043101302211
61010310435143
7106400546265
oct20552664647
95707761510
102242603431
11a50989172
12527062ab3
132997ca1a3
14173bab435
15d1d35156
hex85ab69a7

2242603431 has 48 divisors (see below), whose sum is σ = 3468052224. Its totient is φ = 1393362432.

The previous prime is 2242603423. The next prime is 2242603439. The reversal of 2242603431 is 1343062422.

2242603431 is a `hidden beast` number, since 2 + 24 + 2 + 603 + 4 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (2242603423) and next prime (2242603439).

It is not a de Polignac number, because 2242603431 - 23 = 2242603423 is a prime.

It is a super-2 number, since 2×22426034312 = 10058540297465943522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2242603395 and 2242603404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242603439) 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 47 ways as a sum of consecutive naturals, for example, 1344460 + ... + 1346126.

It is an arithmetic number, because the mean of its divisors is an integer number (72251088).

Almost surely, 22242603431 is an apocalyptic number.

2242603431 is a deficient number, since it is larger than the sum of its proper divisors (1225448793).

2242603431 is a wasteful number, since it uses less digits than its factorization.

2242603431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2242603431 is about 47356.1340377358. The cubic root of 2242603431 is about 1308.9332323098.

Adding to 2242603431 its reverse (1343062422), we get a palindrome (3585665853).

The spelling of 2242603431 in words is "two billion, two hundred forty-two million, six hundred three thousand, four hundred thirty-one".

Divisors: 1 3 9 23 67 69 97 201 207 291 603 873 1541 1667 2231 4623 5001 6499 6693 13869 15003 19497 20079 38341 58491 111689 115023 149477 161699 335067 345069 448431 485097 1005201 1345293 1455291 2568847 3719077 7706541 10833833 11157231 23119623 32501499 33471693 97504497 249178159 747534477 2242603431