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2117232000 = 27335313229
BaseRepresentation
bin111111000110010…
…0110010110000000
312110112221112022000
41332030212112000
513314002411000
6550031344000
7103316114022
oct17614462600
95415845260
102117232000
11997138814
124b1082000
13279842400
14161294012
15c5d1d000
hex7e326580

2117232000 has 768 divisors, whose sum is σ = 8735688000. Its totient is φ = 503193600.

The previous prime is 2117231953. The next prime is 2117232001. The reversal of 2117232000 is 2327112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117232001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73007986 + ... + 73008014.

Almost surely, 22117232000 is an apocalyptic number.

2117232000 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 2117232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367844000).

2117232000 is an abundant number, since it is smaller than the sum of its proper divisors (6618456000).

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

2117232000 is a wasteful number, since it uses less digits than its factorization.

2117232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2117232000 is about 46013.3893557082. The cubic root of 2117232000 is about 1284.0723166537.

Adding to 2117232000 its reverse (2327112), we get a palindrome (2119559112).

The spelling of 2117232000 in words is "two billion, one hundred seventeen million, two hundred thirty-two thousand".