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2112204024 = 2332710334057
BaseRepresentation
bin111110111100101…
…1010110011111000
312110012111002012200
41331321122303320
513311211012044
6545331510200
7103225303140
oct17571326370
95405432180
102112204024
11994314167
124ab458360
132787a1988
14160745920
15c5678369
hex7de5acf8

2112204024 has 96 divisors (see below), whose sum is σ = 6545716320. Its totient is φ = 602754048.

The previous prime is 2112203999. The next prime is 2112204037. The reversal of 2112204024 is 4204022112.

It is a super-2 number, since 2×21122040242 = 8922811678003585152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2112203988 and 2112204006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518604 + ... + 522660.

It is an arithmetic number, because the mean of its divisors is an integer number (68184545).

Almost surely, 22112204024 is an apocalyptic number.

2112204024 is a gapful number since it is divisible by the number (24) 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 2112204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272858160).

2112204024 is an abundant number, since it is smaller than the sum of its proper divisors (4433512296).

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

2112204024 is a wasteful number, since it uses less digits than its factorization.

2112204024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2112204024 is about 45958.7208699285. The cubic root of 2112204024 is about 1283.0550446822.

Adding to 2112204024 its reverse (4204022112), we get a palindrome (6316226136).

The spelling of 2112204024 in words is "two billion, one hundred twelve million, two hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1033 2066 3099 4057 4132 6198 7231 8114 8264 9297 12171 12396 14462 16228 18594 21693 24342 24792 28399 28924 32456 36513 37188 43386 48684 56798 57848 65079 73026 74376 85197 86772 97368 113596 130158 146052 170394 173544 227192 255591 260316 292104 340788 511182 520632 681576 1022364 2044728 4190881 8381762 12572643 16763524 25145286 29336167 33527048 37717929 50290572 58672334 75435858 88008501 100581144 117344668 150871716 176017002 234689336 264025503 301743432 352034004 528051006 704068008 1056102012 2112204024