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23232223120 = 2451717082517
BaseRepresentation
bin10101101000101111…
…111001011110010000
32012222002112012211011
4111220233321132100
5340034422114440
614401151100304
71451500431631
oct255057713620
965862465734
1023232223120
119941a910a7
124604511694
1322632192b2
1411a569b888
1590e8d19ea
hex568bf9790

23232223120 has 40 divisors (see below), whose sum is σ = 57192270264. Its totient is φ = 8746248192.

The previous prime is 23232223099. The next prime is 23232223121. The reversal of 23232223120 is 2132223232.

It can be written as a sum of positive squares in 4 ways, for example, as 2667515904 + 20564707216 = 51648^2 + 143404^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23232223091 and 23232223100.

It is not an unprimeable number, because it can be changed into a prime (23232223121) 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 7 ways as a sum of consecutive naturals, for example, 8539899 + ... + 8542618.

Almost surely, 223232223120 is an apocalyptic number.

23232223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23232223120 is an abundant number, since it is smaller than the sum of its proper divisors (33960047144).

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

23232223120 is a wasteful number, since it uses less digits than its factorization.

23232223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17082547 (or 17082541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23232223120 its reverse (2132223232), we get a palindrome (25364446352).

The spelling of 23232223120 in words is "twenty-three billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 17082517 34165034 68330068 85412585 136660136 170825170 273320272 290402789 341650340 580805578 683300680 1161611156 1366601360 1452013945 2323222312 2904027890 4646444624 5808055780 11616111560 23232223120