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2112202320 = 243511177879
BaseRepresentation
bin111110111100101…
…1010011001010000
312110012110222212120
41331321122121100
513311210433240
6545331454240
7103225265154
oct17571323120
95405428776
102112202320
11994312958
124ab457380
132787a0c77
14160745064
15c5677ad0
hex7de5a650

2112202320 has 80 divisors (see below), whose sum is σ = 6554520960. Its totient is φ = 562678272.

The previous prime is 2112202319. The next prime is 2112202321. The reversal of 2112202320 is 232022112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112202319) and next prime (2112202321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21122023202 = 8922797281226764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112202320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112202321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 264141 + ... + 272019.

It is an arithmetic number, because the mean of its divisors is an integer number (81931512).

Almost surely, 22112202320 is an apocalyptic number.

2112202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112202320 is an abundant number, since it is smaller than the sum of its proper divisors (4442318640).

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

2112202320 is a wasteful number, since it uses less digits than its factorization.

2112202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2112202320 is about 45958.7023315498. The cubic root of 2112202320 is about 1283.0546996514.

Adding to 2112202320 its reverse (232022112), we get a palindrome (2344224432).

The spelling of 2112202320 in words is "two billion, one hundred twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1117 2234 3351 4468 5585 6702 7879 8936 11170 13404 15758 16755 17872 22340 23637 26808 31516 33510 39395 44680 47274 53616 63032 67020 78790 89360 94548 118185 126064 134040 157580 189096 236370 268080 315160 378192 472740 630320 945480 1890960 8800843 17601686 26402529 35203372 44004215 52805058 70406744 88008430 105610116 132012645 140813488 176016860 211220232 264025290 352033720 422440464 528050580 704067440 1056101160 2112202320