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2116903932 = 223211134373131
BaseRepresentation
bin111111000101101…
…0110001111111100
312110112022212021100
41332023112033330
513313411411212
6550020333100
7103313246403
oct17613261774
95415285240
102116903932
11996a34290
124b0b44190
13279758ca0
1416120a63a
15c5ca5bdc
hex7e2d63fc

2116903932 has 288 divisors, whose sum is σ = 6570660096. Its totient is φ = 566092800.

The previous prime is 2116903931. The next prime is 2116903949. The reversal of 2116903932 is 2393096112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116903931) 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, 16159507 + ... + 16159637.

It is an arithmetic number, because the mean of its divisors is an integer number (22814792).

Almost surely, 22116903932 is an apocalyptic number.

2116903932 is a gapful number since it is divisible by the number (22) 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 2116903932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285330048).

2116903932 is an abundant number, since it is smaller than the sum of its proper divisors (4453756164).

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

2116903932 is a wasteful number, since it uses less digits than its factorization.

2116903932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2116903932 is about 46009.8242987299. The cubic root of 2116903932 is about 1284.0059903060.

The spelling of 2116903932 in words is "two billion, one hundred sixteen million, nine hundred three thousand, nine hundred thirty-two".