Search a number
-
+
23322120 = 23351953193
BaseRepresentation
bin101100011110…
…1111000001000
31121212212221020
41120331320020
521432301440
62151512440
7402143343
oct130757010
947785836
1023322120
111218a288
127988720
134aa7593
14315145a
1520aa3d0
hex163de08

23322120 has 128 divisors (see below), whose sum is σ = 75427200. Its totient is φ = 5750784.

The previous prime is 23322109. The next prime is 23322121. The reversal of 23322120 is 2122332.

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 23322120.

It is not an unprimeable number, because it can be changed into a prime (23322121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120744 + ... + 120936.

It is an arithmetic number, because the mean of its divisors is an integer number (589275).

Almost surely, 223322120 is an apocalyptic number.

23322120 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 23322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37713600).

23322120 is an abundant number, since it is smaller than the sum of its proper divisors (52105080).

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

23322120 is a wasteful number, since it uses less digits than its factorization.

23322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

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

The square root of 23322120 is about 4829.2980856435. The cubic root of 23322120 is about 285.7081803457.

Adding to 23322120 its reverse (2122332), we get a palindrome (25444452).

The spelling of 23322120 in words is "twenty-three million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 53 57 60 76 95 106 114 120 152 159 190 193 212 228 265 285 318 380 386 424 456 530 570 579 636 760 772 795 965 1007 1060 1140 1158 1272 1544 1590 1930 2014 2120 2280 2316 2895 3021 3180 3667 3860 4028 4632 5035 5790 6042 6360 7334 7720 8056 10070 10229 11001 11580 12084 14668 15105 18335 20140 20458 22002 23160 24168 29336 30210 30687 36670 40280 40916 44004 51145 55005 60420 61374 73340 81832 88008 102290 110010 120840 122748 146680 153435 194351 204580 220020 245496 306870 388702 409160 440040 583053 613740 777404 971755 1166106 1227480 1554808 1943510 2332212 2915265 3887020 4664424 5830530 7774040 11661060 23322120