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23453220 = 22357192939
BaseRepresentation
bin101100101110…
…1111000100100
31122010112202210
41121131320210
522001000340
62154403420
7403230510
oct131357044
948115683
1023453220
111226982a
127a30570
134b2215b
143187140
1520d4180
hex165de24

23453220 has 96 divisors (see below), whose sum is σ = 79027200. Its totient is φ = 5076864.

The previous prime is 23453179. The next prime is 23453233. The reversal of 23453220 is 2235432.

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

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 31 ways as a sum of consecutive naturals, for example, 6511 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (823200).

Almost surely, 223453220 is an apocalyptic number.

23453220 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 23453220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39513600).

23453220 is an abundant number, since it is smaller than the sum of its proper divisors (55573980).

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

23453220 is a wasteful number, since it uses less digits than its factorization.

23453220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 23453220 is about 4842.8524652316. The cubic root of 23453220 is about 286.2425282337.

Adding to 23453220 its reverse (2235432), we get a palindrome (25688652).

It can be divided in two parts, 2345 and 3220, that added together give a triangular number (5565 = T105).

The spelling of 23453220 in words is "twenty-three million, four hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 2939 3990 5878 7980 8817 11756 14695 17634 20573 29390 35268 41146 44085 55841 58780 61719 82292 88170 102865 111682 123438 167523 176340 205730 223364 246876 279205 308595 335046 390887 411460 558410 617190 670092 781774 837615 1116820 1172661 1234380 1563548 1675230 1954435 2345322 3350460 3908870 4690644 5863305 7817740 11726610 23453220