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1000230220 = 2251119323557
BaseRepresentation
bin111011100111100…
…100110101001100
32120201002221220201
4323213210311030
54022024331340
6243130223244
733533550043
oct7347446514
92521087821
101000230220
11473670850
1223ab84b24
1312c2bac02
1496bab55a
155cc2979a
hex3b9e4d4c

1000230220 has 48 divisors (see below), whose sum is σ = 2303407008. Its totient is φ = 361820160.

The previous prime is 1000230197. The next prime is 1000230223. The reversal of 1000230220 is 220320001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000230197 and 1000230206.

It is not an unprimeable number, because it can be changed into a prime (1000230223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30682 + ... + 54238.

It is an arithmetic number, because the mean of its divisors is an integer number (47987646).

Almost surely, 21000230220 is an apocalyptic number.

1000230220 is a gapful number since it is divisible by the number (10) 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 1000230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151703504).

1000230220 is an abundant number, since it is smaller than the sum of its proper divisors (1303176788).

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

1000230220 is a wasteful number, since it uses less digits than its factorization.

1000230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23770 (or 23768 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1000230220 is about 31626.4164900167. The cubic root of 1000230220 is about 1000.0767341117.

Adding to 1000230220 its reverse (220320001), we get a palindrome (1220550221).

The spelling of 1000230220 in words is "one billion, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 8492 10615 21230 23557 42460 47114 94228 117785 235570 259127 471140 518254 1036508 1295635 2591270 4546501 5182540 9093002 18186004 22732505 45465010 50011511 90930020 100023022 200046044 250057555 500115110 1000230220