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2112202424 = 232337461673
BaseRepresentation
bin111110111100101…
…1010011010111000
312110012111000000102
41331321122122320
513311210434144
6545331454532
7103225265363
oct17571323270
95405430012
102112202424
11994312a42
124ab457448
132787a1027
141607450da
15c5677b4e
hex7de5a6b8

2112202424 has 64 divisors (see below), whose sum is σ = 4259787840. Its totient is φ = 979292160.

The previous prime is 2112202423. The next prime is 2112202427. The reversal of 2112202424 is 4242022112.

It is a super-3 number, since 3×21122024243 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2112202396 and 2112202405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112202423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3138152 + ... + 3138824.

It is an arithmetic number, because the mean of its divisors is an integer number (66559185).

Almost surely, 22112202424 is an apocalyptic number.

It is an amenable number.

2112202424 is an abundant number, since it is smaller than the sum of its proper divisors (2147585416).

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

2112202424 is a wasteful number, since it uses less digits than its factorization.

2112202424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2112202424 is about 45958.7034630003. The cubic root of 2112202424 is about 1283.0547207096.

Adding to 2112202424 its reverse (4242022112), we get a palindrome (6354224536).

The spelling of 2112202424 in words is "two billion, one hundred twelve million, two hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 23 37 46 74 92 148 184 296 461 673 851 922 1346 1702 1844 2692 3404 3688 5384 6808 10603 15479 17057 21206 24901 30958 34114 42412 49802 61916 68228 84824 99604 123832 136456 199208 310253 392311 572723 620506 784622 1145446 1241012 1569244 2290892 2482024 3138488 4581784 7135819 11479361 14271638 22958722 28543276 45917444 57086552 91834888 264025303 528050606 1056101212 2112202424