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1223231120 = 24537340993
BaseRepresentation
bin100100011101001…
…0000011010010000
310011020201120122022
41020322100122100
510001121343440
6321214031012
742212202326
oct11072203220
93136646568
101223231120
11578533711
122a17a8468
131665694c7
14b8659d16
15725c8cb5
hex48e90690

1223231120 has 40 divisors (see below), whose sum is σ = 2851706616. Its totient is φ = 487968768.

The previous prime is 1223231101. The next prime is 1223231131. The reversal of 1223231120 is 211323221.

It can be written as a sum of positive squares in 4 ways, for example, as 25240576 + 1197990544 = 5024^2 + 34612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9344 + ... + 50336.

Almost surely, 21223231120 is an apocalyptic number.

1223231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223231120 is an abundant number, since it is smaller than the sum of its proper divisors (1628475496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1223231120 is a wasteful number, since it uses less digits than its factorization.

1223231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41379 (or 41373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1223231120 is about 34974.7211568584. The cubic root of 1223231120 is about 1069.4722176574.

Adding to 1223231120 its reverse (211323221), we get a palindrome (1434554341).

The spelling of 1223231120 in words is "one billion, two hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 373 746 1492 1865 2984 3730 5968 7460 14920 29840 40993 81986 163972 204965 327944 409930 655888 819860 1639720 3279440 15290389 30580778 61161556 76451945 122323112 152903890 244646224 305807780 611615560 1223231120