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23212320 = 2535371307
BaseRepresentation
bin101100010001…
…1000100100000
31121200022022120
41120203010200
521420243240
62145304240
7401205255
oct130430440
947608276
1023212320
111211483a
127935080
134a69601
14312342c
152087ad0
hex1623120

23212320 has 96 divisors (see below), whose sum is σ = 75152448. Its totient is φ = 6018048.

The previous prime is 23212297. The next prime is 23212331. The reversal of 23212320 is 2321232.

It is a tau number, because it is divible by the number of its divisors (96).

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 23212320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17107 + ... + 18413.

It is an arithmetic number, because the mean of its divisors is an integer number (782838).

Almost surely, 223212320 is an apocalyptic number.

23212320 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 23212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37576224).

23212320 is an abundant number, since it is smaller than the sum of its proper divisors (51940128).

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

23212320 is a wasteful number, since it uses less digits than its factorization.

23212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

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

The square root of 23212320 is about 4817.9165621667. The cubic root of 23212320 is about 285.2591057003.

Adding to 23212320 its reverse (2321232), we get a palindrome (25533552).

It can be divided in two parts, 23212 and 320, that added together give a palindrome (23532).

The spelling of 23212320 in words is "twenty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1307 1480 1776 2220 2614 2960 3552 3921 4440 5228 5920 6535 7842 8880 10456 13070 15684 17760 19605 20912 26140 31368 39210 41824 48359 52280 62736 78420 96718 104560 125472 145077 156840 193436 209120 241795 290154 313680 386872 483590 580308 627360 725385 773744 967180 1160616 1450770 1547488 1934360 2321232 2901540 3868720 4642464 5803080 7737440 11606160 23212320