Search a number
-
+
2330022000 = 243533112527
BaseRepresentation
bin1000101011100001…
…0101000001110000
320000101100101022010
42022320111001300
514232441201000
61023112242520
7111511601025
oct21270250160
96011311263
102330022000
11a96267019
125503a0440
132b1957157
1418164554c
15d9851d50
hex8ae15070

2330022000 has 160 divisors (see below), whose sum is σ = 7754932224. Its totient is φ = 601248000.

The previous prime is 2330021983. The next prime is 2330022001. The reversal of 2330022000 is 2200332.

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 (2330022001) 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, 179737 + ... + 192263.

Almost surely, 22330022000 is an apocalyptic number.

2330022000 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 2330022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877466112).

2330022000 is an abundant number, since it is smaller than the sum of its proper divisors (5424910224).

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

2330022000 is a wasteful number, since it uses less digits than its factorization.

2330022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12568 counting only the distinct ones).

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

The square root of 2330022000 is about 48270.3014285181. The cubic root of 2330022000 is about 1325.7246777486.

Adding to 2330022000 its reverse (2200332), we get a palindrome (2332222332).

The spelling of 2330022000 in words is "two billion, three hundred thirty million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 12527 15500 18600 23250 25054 31000 37200 37581 46500 50108 62000 62635 75162 93000 100216 125270 150324 186000 187905 200432 250540 300648 313175 375810 388337 501080 601296 626350 751620 776674 939525 1002160 1165011 1252700 1503240 1553348 1565875 1879050 1941685 2330022 2505400 3006480 3106696 3131750 3758100 3883370 4660044 4697625 5010800 5825055 6213392 6263500 7516200 7766740 9320088 9395250 9708425 11650110 12527000 15032400 15533480 18640176 18790500 19416850 23300220 25054000 29125275 31066960 37581000 38833700 46600440 48542125 58250550 75162000 77667400 93200880 97084250 116501100 145626375 155334800 194168500 233002200 291252750 388337000 466004400 582505500 776674000 1165011000 2330022000