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2230222000 = 245310511061
BaseRepresentation
bin1000010011101110…
…0111110010110000
312202102120000102211
42010323213302300
514031414101000
61005145221504
7106160400646
oct20473476260
95672500384
102230222000
11a449a1886
12522a91894
132970836b6
141722a7196
15d0bdb7ba
hex84ee7cb0

2230222000 has 80 divisors (see below), whose sum is σ = 5402895264. Its totient is φ = 890400000.

The previous prime is 2230221997. The next prime is 2230222009. The reversal of 2230222000 is 2220322.

2230222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2230222009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101470 + ... + 2102530.

Almost surely, 22230222000 is an apocalyptic number.

2230222000 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 2230222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701447632).

2230222000 is an abundant number, since it is smaller than the sum of its proper divisors (3172673264).

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

2230222000 is a wasteful number, since it uses less digits than its factorization.

2230222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2119 counting only the distinct ones).

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

The square root of 2230222000 is about 47225.2263096748. The cubic root of 2230222000 is about 1306.5199086645.

Adding to 2230222000 its reverse (2220322), we get a palindrome (2232442322).

The spelling of 2230222000 in words is "two billion, two hundred thirty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1051 1061 2000 2102 2122 4204 4244 5255 5305 8408 8488 10510 10610 16816 16976 21020 21220 26275 26525 42040 42440 52550 53050 84080 84880 105100 106100 131375 132625 210200 212200 262750 265250 420400 424400 525500 530500 1051000 1061000 1115111 2102000 2122000 2230222 4460444 5575555 8920888 11151110 17841776 22302220 27877775 44604440 55755550 89208880 111511100 139388875 223022200 278777750 446044400 557555500 1115111000 2230222000