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23212000 = 25537829
BaseRepresentation
bin101100010001…
…0111111100000
31121200021212201
41120202333200
521420241000
62145302544
7401204320
oct130427740
947607781
1023212000
1112114579
127934a54
134a69416
143123280
15208796a
hex1622fe0

23212000 has 96 divisors (see below), whose sum is σ = 65257920. Its totient is φ = 7948800.

The previous prime is 23211997. The next prime is 23212009. The reversal of 23212000 is 21232.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27586 + ... + 28414.

It is an arithmetic number, because the mean of its divisors is an integer number (679770).

Almost surely, 223212000 is an apocalyptic number.

23212000 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 23212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32628960).

23212000 is an abundant number, since it is smaller than the sum of its proper divisors (42045920).

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

23212000 is an equidigital number, since it uses as much as digits as its factorization.

23212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 23212000 is about 4817.8833526768. The cubic root of 23212000 is about 285.2577948543.

Adding to 23212000 its reverse (21232), we get a palindrome (23233232).

The spelling of 23212000 in words is "twenty-three million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 829 875 1000 1120 1400 1658 1750 2000 2800 3316 3500 4000 4145 5600 5803 6632 7000 8290 11606 13264 14000 16580 20725 23212 26528 28000 29015 33160 41450 46424 58030 66320 82900 92848 103625 116060 132640 145075 165800 185696 207250 232120 290150 331600 414500 464240 580300 663200 725375 829000 928480 1160600 1450750 1658000 2321200 2901500 3316000 4642400 5803000 11606000 23212000