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2203023000 = 233531076863
BaseRepresentation
bin1000001101001111…
…0111011010011000
312200112101011102110
42003103313122120
514002433214000
61002334232320
7105410246403
oct20323673230
95615334373
102203023000
11a30604872
125159556a0
1329154c609
1416c826d3a
15cd617850
hex834f7698

2203023000 has 128 divisors (see below), whose sum is σ = 6938680320. Its totient is φ = 581897600.

The previous prime is 2203022977. The next prime is 2203023037. The reversal of 2203023000 is 3203022.

2203023000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 317569 + ... + 324431.

It is an arithmetic number, because the mean of its divisors is an integer number (54208440).

Almost surely, 22203023000 is an apocalyptic number.

2203023000 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 2203023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469340160).

2203023000 is an abundant number, since it is smaller than the sum of its proper divisors (4735657320).

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

2203023000 is a wasteful number, since it uses less digits than its factorization.

2203023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2203023000 is about 46936.3718239917. The cubic root of 2203023000 is about 1301.1868845006.

Adding to 2203023000 its reverse (3203022), we get a palindrome (2206226022).

The spelling of 2203023000 in words is "two billion, two hundred three million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 642 750 856 1000 1070 1284 1500 1605 2140 2568 2675 3000 3210 4280 5350 6420 6863 8025 10700 12840 13375 13726 16050 20589 21400 26750 27452 32100 34315 40125 41178 53500 54904 64200 68630 80250 82356 102945 107000 137260 160500 164712 171575 205890 274520 321000 343150 411780 514725 686300 734341 823560 857875 1029450 1372600 1468682 1715750 2058900 2203023 2573625 2937364 3431500 3671705 4117800 4406046 5147250 5874728 6863000 7343410 8812092 10294500 11015115 14686820 17624184 18358525 20589000 22030230 29373640 36717050 44060460 55075575 73434100 88120920 91792625 110151150 146868200 183585250 220302300 275377875 367170500 440604600 550755750 734341000 1101511500 2203023000