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2223835012 = 2275191741
BaseRepresentation
bin1000010010001101…
…0000011110000100
312201222112112010201
42010203100132010
514023300210022
61004400300244
7106052200000
oct20443203604
95658475121
102223835012
11a4132a183
12520911684
13295958509
141714c3700
15d0379127
hex848d0784

2223835012 has 72 divisors (see below), whose sum is σ = 4781999040. Its totient is φ = 902391840.

The previous prime is 2223835001. The next prime is 2223835027. The reversal of 2223835012 is 2105383222.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 1276462 + ... + 1278202.

Almost surely, 22223835012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223835012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390999520).

2223835012 is an abundant number, since it is smaller than the sum of its proper divisors (2558164028).

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

2223835012 is an equidigital number, since it uses as much as digits as its factorization.

2223835012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2223835012 is about 47157.5551953237. Note that the first 3 decimals coincide. The cubic root of 2223835012 is about 1305.2714969741.

The spelling of 2223835012 in words is "two billion, two hundred twenty-three million, eight hundred thirty-five thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1372 1741 1862 2401 3482 3724 4802 6517 6964 9604 12187 13034 16807 24374 26068 33079 33614 45619 48748 66158 67228 85309 91238 132316 170618 182476 231553 319333 341236 463106 597163 638666 926212 1194326 1277332 1620871 2388652 3241742 4180141 6483484 8360282 11346097 16720564 22692194 29260987 45384388 58521974 79422679 117043948 158845358 317690716 555958753 1111917506 2223835012