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223023000 = 23353174373
BaseRepresentation
bin11010100101100…
…00111110011000
3120112122202001010
431102300332120
5424043214000
634044053520
75345443554
oct1522607630
9515582033
10223023000
11104988532
12628342a0
1337288695
1421896864
15148a5d50
hexd4b0f98

223023000 has 128 divisors (see below), whose sum is σ = 736931520. Its totient is φ = 55961600.

The previous prime is 223022981. The next prime is 223023001. The reversal of 223023000 is 320322.

223023000 is digitally balanced in base 2 and base 3, 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 not an unprimeable number, because it can be changed into a prime (223023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48814 + ... + 53186.

Almost surely, 2223023000 is an apocalyptic number.

223023000 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 223023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368465760).

223023000 is an abundant number, since it is smaller than the sum of its proper divisors (513908520).

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

223023000 is a wasteful number, since it uses less digits than its factorization.

223023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4400 counting only the distinct ones).

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

The square root of 223023000 is about 14933.9546001721. The cubic root of 223023000 is about 606.4335470032.

Adding to 223023000 its reverse (320322), we get a palindrome (223343322).

The spelling of 223023000 in words is "two hundred twenty-three million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 4373 5100 6375 8500 8746 10200 12750 13119 17000 17492 21865 25500 26238 34984 43730 51000 52476 65595 74341 87460 104952 109325 131190 148682 174920 218650 223023 262380 297364 327975 371705 437300 446046 524760 546625 594728 655950 743410 874600 892092 1093250 1115115 1311900 1486820 1639875 1784184 1858525 2186500 2230230 2623800 2973640 3279750 3717050 4373000 4460460 5575575 6559500 7434100 8920920 9292625 11151150 13119000 14868200 18585250 22302300 27877875 37170500 44604600 55755750 74341000 111511500 223023000