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2114133400 = 235225741131
BaseRepresentation
bin111111000000011…
…0001110110011000
312110100010002211001
41332000301312120
513312204232100
6545441114344
7103250560141
oct17600616630
95410102731
102114133400
11995411795
124b00289b4
13278cc8c12
14160ac8ac8
15c5909d6a
hex7e031d98

2114133400 has 48 divisors (see below), whose sum is σ = 4934606040. Its totient is φ = 842342400.

The previous prime is 2114133383. The next prime is 2114133407. The reversal of 2114133400 is 43314112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114133407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30835 + ... + 71965.

Almost surely, 22114133400 is an apocalyptic number.

2114133400 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 2114133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467303020).

2114133400 is an abundant number, since it is smaller than the sum of its proper divisors (2820472640).

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

2114133400 is a wasteful number, since it uses less digits than its factorization.

2114133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41404 (or 41395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2114133400 is about 45979.7063931470. The cubic root of 2114133400 is about 1283.4455912745.

Adding to 2114133400 its reverse (43314112), we get a palindrome (2157447512).

The spelling of 2114133400 in words is "two billion, one hundred fourteen million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2570 5140 6425 10280 12850 25700 41131 51400 82262 164524 205655 329048 411310 822620 1028275 1645240 2056550 4113100 8226200 10570667 21141334 42282668 52853335 84565336 105706670 211413340 264266675 422826680 528533350 1057066700 2114133400