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1023225541 = 13223673929
BaseRepresentation
bin111100111111010…
…010111011000101
32122022101020120021
4330333102323011
54043421204131
6245311135141
734233162562
oct7477227305
92568336507
101023225541
11485647548
122468144b1
13133cac800
1499c75869
155ec6ce11
hex3cfd2ec5

1023225541 has 24 divisors (see below), whose sum is σ = 1173718080. Its totient is φ = 889739136.

The previous prime is 1023225527. The next prime is 1023225547. The reversal of 1023225541 is 1455223201.

It is not a de Polignac number, because 1023225541 - 221 = 1021128389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023225547) 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 in 23 ways as a sum of consecutive naturals, for example, 258465 + ... + 262393.

It is an arithmetic number, because the mean of its divisors is an integer number (48904920).

Almost surely, 21023225541 is an apocalyptic number.

It is an amenable number.

1023225541 is a deficient number, since it is larger than the sum of its proper divisors (150492539).

1023225541 is a wasteful number, since it uses less digits than its factorization.

1023225541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1023225541 is about 31987.8967892545. The cubic root of 1023225541 is about 1007.6826723923.

Adding to 1023225541 its reverse (1455223201), we get a palindrome (2478448742).

The spelling of 1023225541 in words is "one billion, twenty-three million, two hundred twenty-five thousand, five hundred forty-one".

Divisors: 1 13 23 67 169 299 871 1541 3887 3929 11323 20033 51077 90367 260429 263243 664001 1174771 3422159 6054589 15272023 44488067 78709657 1023225541