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2023422000 = 24353563599
BaseRepresentation
bin111100010011010…
…1111100000110000
312020000102111011120
41320212233200300
513120444001000
6532440542240
7101066542335
oct17046574060
95200374146
102023422000
11949194996
12485781980
13263288232
14152a3498c
15bc98c6a0
hex789af830

2023422000 has 160 divisors (see below), whose sum is σ = 6546009600. Its totient is φ = 537721600.

The previous prime is 2023421963. The next prime is 2023422073. The reversal of 2023422000 is 2243202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3377701 + ... + 3378299.

It is an arithmetic number, because the mean of its divisors is an integer number (40912560).

Almost surely, 22023422000 is an apocalyptic number.

2023422000 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 2023422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273004800).

2023422000 is an abundant number, since it is smaller than the sum of its proper divisors (4522587600).

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

2023422000 is a wasteful number, since it uses less digits than its factorization.

2023422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2023422000 is about 44982.4632495821. The cubic root of 2023422000 is about 1264.8202861969.

Adding to 2023422000 its reverse (2243202), we get a palindrome (2025665202).

The spelling of 2023422000 in words is "two billion, twenty-three million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 563 599 600 750 1000 1126 1198 1200 1500 1689 1797 2000 2252 2396 2815 2995 3000 3378 3594 4504 4792 5630 5990 6000 6756 7188 8445 8985 9008 9584 11260 11980 13512 14075 14376 14975 16890 17970 22520 23960 27024 28150 28752 29950 33780 35940 42225 44925 45040 47920 56300 59900 67560 70375 71880 74875 84450 89850 112600 119800 135120 140750 143760 149750 168900 179700 211125 224625 225200 239600 281500 299500 337237 337800 359400 422250 449250 563000 599000 674474 675600 718800 844500 898500 1011711 1126000 1198000 1348948 1686185 1689000 1797000 2023422 2697896 3372370 3378000 3594000 4046844 5058555 5395792 6744740 8093688 8430925 10117110 13489480 16187376 16861850 20234220 25292775 26978960 33723700 40468440 42154625 50585550 67447400 80936880 84309250 101171100 126463875 134894800 168618500 202342200 252927750 337237000 404684400 505855500 674474000 1011711000 2023422000