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23382030 = 23572347103
BaseRepresentation
bin101100100110…
…0100000001110
31121222221010010
41121030200032
521441211110
62153054050
7402513120
oct131144016
947887103
1023382030
11122202a1
1279b7326
134ac8929
143169210
1520bd020
hex164c80e

23382030 has 128 divisors (see below), whose sum is σ = 69009408. Its totient is φ = 4954752.

The previous prime is 23382019. The next prime is 23382031. The reversal of 23382030 is 3028332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23381988 and 23382006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23382031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226959 + ... + 227061.

It is an arithmetic number, because the mean of its divisors is an integer number (539136).

Almost surely, 223382030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23382030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34504704).

23382030 is an abundant number, since it is smaller than the sum of its proper divisors (45627378).

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

23382030 is a wasteful number, since it uses less digits than its factorization.

23382030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 23382030 is about 4835.4968720908. The cubic root of 23382030 is about 285.9526141194.

The spelling of 23382030 in words is "twenty-three million, three hundred eighty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 47 69 70 94 103 105 115 138 141 161 206 210 230 235 282 309 322 329 345 470 483 515 618 658 690 705 721 805 966 987 1030 1081 1410 1442 1545 1610 1645 1974 2162 2163 2369 2415 3090 3243 3290 3605 4326 4738 4830 4841 4935 5405 6486 7107 7210 7567 9682 9870 10810 10815 11845 14214 14523 15134 16215 16583 21630 22701 23690 24205 29046 32430 33166 33887 35535 37835 45402 48410 49749 67774 71070 72615 75670 82915 99498 101661 111343 113505 145230 165830 169435 203322 222686 227010 248745 334029 338870 497490 508305 556715 668058 779401 1016610 1113430 1558802 1670145 2338203 3340290 3897005 4676406 7794010 11691015 23382030