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2220231000 = 233531356929
BaseRepresentation
bin1000010001010110…
…0000100101011000
312201201202102100210
42010111200211120
514021334343000
61004151131120
7106006436451
oct20425404530
95651672323
102220231000
11a3a298459
1251b673aa0
13294c95c70
14170c26128
15cedb6350
hex84560958

2220231000 has 128 divisors (see below), whose sum is σ = 7460107200. Its totient is φ = 546508800.

The previous prime is 2220230983. The next prime is 2220231001. The reversal of 2220231000 is 1320222.

It is a super-3 number, since 3×22202310003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (2220231001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10536 + ... + 67464.

Almost surely, 22220231000 is an apocalyptic number.

2220231000 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 2220231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730053600).

2220231000 is an abundant number, since it is smaller than the sum of its proper divisors (5239876200).

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

2220231000 is a wasteful number, since it uses less digits than its factorization.

2220231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56966 (or 56952 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2220231000 is about 47119.3272447729. The cubic root of 2220231000 is about 1304.5659953420.

Adding to 2220231000 its reverse (1320222), we get a palindrome (2221551222).

The spelling of 2220231000 in words is "two billion, two hundred twenty million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 56929 113858 170787 227716 284645 341574 455432 569290 683148 740077 853935 1138580 1366296 1423225 1480154 1707870 2220231 2277160 2846450 2960308 3415740 3700385 4269675 4440462 5692900 5920616 6831480 7116125 7400770 8539350 8880924 11101155 11385800 14232250 14801540 17078700 17761848 18501925 21348375 22202310 28464500 29603080 34157400 37003850 42696750 44404620 55505775 56929000 74007700 85393500 88809240 92509625 111011550 148015400 170787000 185019250 222023100 277528875 370038500 444046200 555057750 740077000 1110115500 2220231000