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2242120431 = 32371457669
BaseRepresentation
bin1000010110100100…
…0000101011101111
312210020221112000110
42011221000223233
514042440323211
61010252231103
7106363465155
oct20551005357
95706845013
102242120431
11a506892a1
12526a6b493
1329968b3a5
14173ac33d5
15d1c8bea6
hex85a40aef

2242120431 has 16 divisors (see below), whose sum is σ = 3163415040. Its totient is φ = 1409617440.

The previous prime is 2242120381. The next prime is 2242120549. The reversal of 2242120431 is 1340212422.

It is not a de Polignac number, because 2242120431 - 26 = 2242120367 is a prime.

It is a super-2 number, since 2×22421204312 = 10054208054215251522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2242120398 and 2242120407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242120831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223936 + ... + 233733.

It is an arithmetic number, because the mean of its divisors is an integer number (197713440).

Almost surely, 22242120431 is an apocalyptic number.

2242120431 is a deficient number, since it is larger than the sum of its proper divisors (921294609).

2242120431 is a wasteful number, since it uses less digits than its factorization.

2242120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457766.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2242120431 is about 47351.0341069760. The cubic root of 2242120431 is about 1308.8392552033.

Adding to 2242120431 its reverse (1340212422), we get a palindrome (3582332853).

The spelling of 2242120431 in words is "two billion, two hundred forty-two million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 23 69 71 213 1633 4899 457669 1373007 10526387 31579161 32494499 97483497 747373477 2242120431