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1000220010 = 235412693023
BaseRepresentation
bin111011100111100…
…010010101101010
32120201002102220120
4323213202111222
54022024020020
6243130104110
733533505216
oct7347422552
92521072816
101000220010
11473664109
1223ab7b036
1312c2b637a
1496ba7946
155cc26740
hex3b9e256a

1000220010 has 64 divisors (see below), whose sum is σ = 2469035520. Its totient is φ = 259166720.

The previous prime is 1000219999. The next prime is 1000220029. The reversal of 1000220010 is 100220001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 329359 + ... + 332381.

It is an arithmetic number, because the mean of its divisors is an integer number (38578680).

Almost surely, 21000220010 is an apocalyptic number.

1000220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234517760).

1000220010 is an abundant number, since it is smaller than the sum of its proper divisors (1468815510).

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

1000220010 is a wasteful number, since it uses less digits than its factorization.

1000220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000220010 is about 31626.2550739097. The cubic root of 1000220010 is about 1000.0733312891.

Adding to 1000220010 its reverse (100220001), we get a palindrome (1100440011).

Subtracting from 1000220010 its reverse (100220001), we obtain a palindrome (900000009).

The spelling of 1000220010 in words is "one billion, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 269 410 538 615 807 1230 1345 1614 2690 3023 4035 6046 8070 9069 11029 15115 18138 22058 30230 33087 45345 55145 66174 90690 110290 123943 165435 247886 330870 371829 619715 743658 813187 1239430 1626374 1859145 2439561 3718290 4065935 4879122 8131870 12197805 24395610 33340667 66681334 100022001 166703335 200044002 333406670 500110005 1000220010