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23021223000 = 2335319738953
BaseRepresentation
bin10101011100001010…
…111111110001011000
32012102101111022001220
4111130022333301120
5334121413114000
614324212412040
71443326111136
oct253412776130
965371438056
1023021223000
119843975636
124565917020
13222b5b0159
141185654756
158eb1031a0
hex55c2bfc58

23021223000 has 128 divisors (see below), whose sum is σ = 72192669120. Its totient is φ = 6107673600.

The previous prime is 23021222999. The next prime is 23021223031. The reversal of 23021223000 is 32212032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571524 + ... + 610476.

Almost surely, 223021223000 is an apocalyptic number.

23021223000 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 23021223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36096334560).

23021223000 is an abundant number, since it is smaller than the sum of its proper divisors (49171446120).

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

23021223000 is a wasteful number, since it uses less digits than its factorization.

23021223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39174 (or 39160 counting only the distinct ones).

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

Adding to 23021223000 its reverse (32212032), we get a palindrome (23053435032).

The spelling of 23021223000 in words is "twenty-three billion, twenty-one million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 197 200 250 300 375 394 500 591 600 750 788 985 1000 1182 1500 1576 1970 2364 2955 3000 3940 4728 4925 5910 7880 9850 11820 14775 19700 23640 24625 29550 38953 39400 49250 59100 73875 77906 98500 116859 118200 147750 155812 194765 197000 233718 295500 311624 389530 467436 584295 591000 779060 934872 973825 1168590 1558120 1947650 2337180 2921475 3895300 4674360 4869125 5842950 7673741 7790600 9738250 11685900 14607375 15347482 19476500 23021223 23371800 29214750 30694964 38368705 38953000 46042446 58429500 61389928 76737410 92084892 115106115 116859000 153474820 184169784 191843525 230212230 306949640 383687050 460424460 575530575 767374100 920848920 959217625 1151061150 1534748200 1918435250 2302122300 2877652875 3836870500 4604244600 5755305750 7673741000 11510611500 23021223000