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23212312000 = 265312892251
BaseRepresentation
bin10101100111100011…
…111100010111000000
32012220201001121220021
4111213203330113000
5340014322441000
614355200223224
71451136253003
oct254743742700
965821047807
1023212312000
119931821629
1245b990ab14
13225c067477
1411a2b9753a
1590cc9c11a
hex5678fc5c0

23212312000 has 112 divisors (see below), whose sum is σ = 57555444960. Its totient is φ = 9273600000.

The previous prime is 23212311977. The next prime is 23212312001. The reversal of 23212312000 is 21321232.

It is a super-2 number, since 2×232123120002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212312001) 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, 10310875 + ... + 10313125.

Almost surely, 223212312000 is an apocalyptic number.

23212312000 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 23212312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28777722480).

23212312000 is an abundant number, since it is smaller than the sum of its proper divisors (34343132960).

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

23212312000 is a wasteful number, since it uses less digits than its factorization.

23212312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23212312000 its reverse (21321232), we get a palindrome (23233633232).

The spelling of 23212312000 in words is "twenty-three billion, two hundred twelve million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1289 1600 2000 2251 2578 4000 4502 5156 6445 8000 9004 10312 11255 12890 18008 20624 22510 25780 32225 36016 41248 45020 51560 56275 64450 72032 82496 90040 103120 112550 128900 144064 161125 180080 206240 225100 257800 281375 322250 360160 412480 450200 515600 562750 644500 720320 900400 1031200 1125500 1289000 1800800 2062400 2251000 2578000 2901539 3601600 4502000 5156000 5803078 9004000 10312000 11606156 14507695 18008000 23212312 29015390 46424624 58030780 72538475 92849248 116061560 145076950 185698496 232123120 290153900 362692375 464246240 580307800 725384750 928492480 1160615600 1450769500 2321231200 2901539000 4642462400 5803078000 11606156000 23212312000