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2003322112 = 28113372111
BaseRepresentation
bin111011101101000…
…0100010100000000
312011121121022022021
41313122010110000
513100322301422
6530442051224
7100433646151
oct16732042400
95147538267
102003322112
11938906610
1247aaa9b14
1325c06b4cc
141500c1928
15bad1bdc7
hex77684500

2003322112 has 72 divisors (see below), whose sum is σ = 4377364992. Its totient is φ = 907468800.

The previous prime is 2003322091. The next prime is 2003322121. The reversal of 2003322112 is 2112233002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947937 + ... + 950047.

It is an arithmetic number, because the mean of its divisors is an integer number (60796736).

Almost surely, 22003322112 is an apocalyptic number.

2003322112 is a gapful number since it is divisible by the number (22) 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 2003322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188682496).

2003322112 is an abundant number, since it is smaller than the sum of its proper divisors (2374042880).

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

2003322112 is a wasteful number, since it uses less digits than its factorization.

2003322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2003322112 is about 44758.4864802196. The cubic root of 2003322112 is about 1260.6182638066.

Adding to 2003322112 its reverse (2112233002), we get a palindrome (4115555114).

The spelling of 2003322112 in words is "two billion, three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 337 352 674 704 1348 1408 2111 2696 2816 3707 4222 5392 7414 8444 10784 14828 16888 21568 23221 29656 33776 43136 46442 59312 67552 86272 92884 118624 135104 185768 237248 270208 371536 474496 540416 711407 743072 948992 1422814 1486144 2845628 2972288 5691256 5944576 7825477 11382512 15650954 22765024 31301908 45530048 62603816 91060096 125207632 182120192 250415264 500830528 1001661056 2003322112