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23223120 = 243596763
BaseRepresentation
bin101100010010…
…1101101010000
31121200212010120
41120211231100
521421114440
62145430240
7401251614
oct130455520
947625116
1023223120
1112121968
12793b380
134a714bb
143127344
15208add0
hex1625b50

23223120 has 40 divisors (see below), whose sum is σ = 71992416. Its totient is φ = 6192768.

The previous prime is 23223107. The next prime is 23223143. The reversal of 23223120 is 2132232.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23223120.

It is a congruent number.

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, 48142 + ... + 48621.

Almost surely, 223223120 is an apocalyptic number.

23223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23223120 is an abundant number, since it is smaller than the sum of its proper divisors (48769296).

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

23223120 is a wasteful number, since it uses less digits than its factorization.

23223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96779 (or 96773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23223120 is about 4819.0372482478. The cubic root of 23223120 is about 285.3033396914.

Adding to 23223120 its reverse (2132232), we get a palindrome (25355352).

The spelling of 23223120 in words is "twenty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 96763 193526 290289 387052 483815 580578 774104 967630 1161156 1451445 1548208 1935260 2322312 2902890 3870520 4644624 5805780 7741040 11611560 23223120