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2112040200 = 233529073881
BaseRepresentation
bin111110111100011…
…0010110100001000
312110012011202111010
41331320302310020
513311140241300
6545324203520
7103224021414
oct17570626410
95405152433
102112040200
11994212076
124ab3995a0
1327874523a
14160701d44
15c5644a50
hex7de32d08

2112040200 has 96 divisors (see below), whose sum is σ = 6556232160. Its totient is φ = 562444800.

The previous prime is 2112040181. The next prime is 2112040201. The reversal of 2112040200 is 20402112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2112040201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542260 + ... + 546140.

It is an arithmetic number, because the mean of its divisors is an integer number (68294085).

Almost surely, 22112040200 is an apocalyptic number.

2112040200 is a gapful number since it is divisible by the number (20) 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 2112040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278116080).

2112040200 is an abundant number, since it is smaller than the sum of its proper divisors (4444191960).

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

2112040200 is a wasteful number, since it uses less digits than its factorization.

2112040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2112040200 is about 45956.9385403336. The cubic root of 2112040200 is about 1283.0218722800.

Adding to 2112040200 its reverse (20402112), we get a palindrome (2132442312).

The spelling of 2112040200 in words is "two billion, one hundred twelve million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 907 1814 2721 3628 3881 4535 5442 7256 7762 9070 10884 11643 13605 15524 18140 19405 21768 22675 23286 27210 31048 36280 38810 45350 46572 54420 58215 68025 77620 90700 93144 97025 108840 116430 136050 155240 181400 194050 232860 272100 291075 388100 465720 544200 582150 776200 1164300 2328600 3520067 7040134 10560201 14080268 17600335 21120402 28160536 35200670 42240804 52801005 70401340 84481608 88001675 105602010 140802680 176003350 211204020 264005025 352006700 422408040 528010050 704013400 1056020100 2112040200