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23199120 = 2432574603
BaseRepresentation
bin101100001111…
…1110110010000
31121122122012200
41120133312100
521414332440
62145123200
7401121630
oct130376620
947578180
1023199120
111210592a
127929500
134a635b9
14311c6c0
152083c30
hex161fd90

23199120 has 120 divisors (see below), whose sum is σ = 89059776. Its totient is φ = 5301504.

The previous prime is 23199119. The next prime is 23199161. The reversal of 23199120 is 2199132.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2739 + ... + 7341.

Almost surely, 223199120 is an apocalyptic number.

23199120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44529888).

23199120 is an abundant number, since it is smaller than the sum of its proper divisors (65860656).

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

23199120 is a wasteful number, since it uses less digits than its factorization.

23199120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 23199120 is about 4816.5464806228. The cubic root of 23199120 is about 285.2050232968.

The spelling of 23199120 in words is "twenty-three million, one hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 4603 5040 9206 13809 18412 23015 27618 32221 36824 41427 46030 55236 64442 69045 73648 82854 92060 96663 110472 128884 138090 161105 165708 184120 193326 207135 220944 257768 276180 289989 322210 331416 368240 386652 414270 483315 515536 552360 579978 644420 662832 773304 828540 966630 1104720 1159956 1288840 1449945 1546608 1657080 1933260 2319912 2577680 2899890 3314160 3866520 4639824 5799780 7733040 11599560 23199120