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23119380 = 223252943103
BaseRepresentation
bin101100000110…
…0011000010100
31121111120211100
41120030120110
521404310010
62143310100
7400340304
oct130143024
947446740
1023119380
1112060a29
1278ab330
134a3620b
1430db604
15206a2c0
hex160c614

23119380 has 144 divisors (see below), whose sum is σ = 74954880. Its totient is φ = 5757696.

The previous prime is 23119373. The next prime is 23119387. The reversal of 23119380 is 8391132.

It is an interprime number because it is at equal distance from previous prime (23119373) and next prime (23119387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23119387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224409 + ... + 224511.

It is an arithmetic number, because the mean of its divisors is an integer number (520520).

Almost surely, 223119380 is an apocalyptic number.

23119380 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 23119380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37477440).

23119380 is an abundant number, since it is smaller than the sum of its proper divisors (51835500).

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

23119380 is a wasteful number, since it uses less digits than its factorization.

23119380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 23119380 is about 4808.2616401357. The cubic root of 23119380 is about 284.8778793509.

The spelling of 23119380 in words is "twenty-three million, one hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 43 45 58 60 86 87 90 103 116 129 145 172 174 180 206 215 258 261 290 309 348 387 412 430 435 515 516 522 580 618 645 774 860 870 927 1030 1044 1236 1247 1290 1305 1545 1548 1740 1854 1935 2060 2494 2580 2610 2987 3090 3708 3741 3870 4429 4635 4988 5220 5974 6180 6235 7482 7740 8858 8961 9270 11223 11948 12470 13287 14935 14964 17716 17922 18540 18705 22145 22446 24940 26574 26883 29870 35844 37410 39861 44290 44805 44892 53148 53766 56115 59740 66435 74820 79722 88580 89610 107532 112230 128441 132870 134415 159444 179220 199305 224460 256882 265740 268830 385323 398610 513764 537660 642205 770646 797220 1155969 1284410 1541292 1926615 2311938 2568820 3853230 4623876 5779845 7706460 11559690 23119380