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2220223000 = 235353163257
BaseRepresentation
bin1000010001010101…
…1110101000011000
312201201202000101111
42010111132220120
514021334114000
61004151030104
7106006404232
oct20425365030
95651660344
102220223000
11a3a292446
1251b66b334
13294c92428
14170c23252
15cedb3cba
hex8455ea18

2220223000 has 128 divisors (see below), whose sum is σ = 5346544320. Its totient is φ = 862617600.

The previous prime is 2220222971. The next prime is 2220223003. The reversal of 2220223000 is 3220222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220223003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8638872 + ... + 8639128.

Almost surely, 22220223000 is an apocalyptic number.

2220223000 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 2220223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673272160).

2220223000 is an abundant number, since it is smaller than the sum of its proper divisors (3126321320).

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

2220223000 is a wasteful number, since it uses less digits than its factorization.

2220223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2220223000 is about 47119.2423538410. The cubic root of 2220223000 is about 1304.5644284570.

Adding to 2220223000 its reverse (3220222), we get a palindrome (2223443222).

The spelling of 2220223000 in words is "two billion, two hundred twenty million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 163 200 212 250 257 265 326 424 500 514 530 652 815 1000 1028 1060 1285 1304 1325 1630 2056 2120 2570 2650 3260 4075 5140 5300 6425 6520 6625 8150 8639 10280 10600 12850 13250 13621 16300 17278 20375 25700 26500 27242 32125 32600 34556 40750 41891 43195 51400 53000 54484 64250 68105 69112 81500 83782 86390 108968 128500 136210 163000 167564 172780 209455 215975 257000 272420 335128 340525 345560 418910 431950 544840 681050 837820 863900 1047275 1079875 1362100 1675640 1702625 1727800 2094550 2159750 2220223 2724200 3405250 4189100 4319500 4440446 5236375 6810500 8378200 8639000 8880892 10472750 11101115 13621000 17761784 20945500 22202230 41891000 44404460 55505575 88808920 111011150 222022300 277527875 444044600 555055750 1110111500 2220223000