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2223020000 = 2554412711
BaseRepresentation
bin1000010010000000…
…1001011111100000
312201221000010011002
42010200021133200
514023043120000
61004331011132
7106042233605
oct20440113740
95657003132
102223020000
11a40922913
12520599aa8
13295731566
141713506ac
15d02678d5
hex848097e0

2223020000 has 120 divisors (see below), whose sum is σ = 5604418512. Its totient is φ = 867200000.

The previous prime is 2223019987. The next prime is 2223020029. The reversal of 2223020000 is 203222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 818645 + ... + 821355.

Almost surely, 22223020000 is an apocalyptic number.

2223020000 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 2223020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802209256).

2223020000 is an abundant number, since it is smaller than the sum of its proper divisors (3381398512).

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

2223020000 is an equidigital number, since it uses as much as digits as its factorization.

2223020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2223020000 is about 47148.9130309491. The cubic root of 2223020000 is about 1305.1120214266.

Adding to 2223020000 its reverse (203222), we get a palindrome (2223223222).

The spelling of 2223020000 in words is "two billion, two hundred twenty-three million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 2711 3280 4000 4100 5000 5125 5422 6560 8200 10000 10250 10844 13555 16400 20000 20500 21688 25625 27110 32800 41000 43376 51250 54220 67775 82000 86752 102500 108440 111151 135550 164000 205000 216880 222302 271100 338875 410000 433760 444604 542200 555755 677750 820000 889208 1084400 1111510 1355500 1694375 1778416 2168800 2223020 2711000 2778775 3388750 3556832 4446040 5422000 5557550 6777500 8892080 10844000 11115100 13555000 13893875 17784160 22230200 27110000 27787750 44460400 54220000 55575500 69469375 88920800 111151000 138938750 222302000 277877500 444604000 555755000 1111510000 2223020000