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2132212104 = 23321143137457
BaseRepresentation
bin111111100010110…
…1111100110001000
312111121010121010200
41333011233212020
513331321241404
6551324412200
7103560334551
oct17705574610
95447117120
102132212104
119a463a570
124b60a7060
1327c988989
14163273328
15c72cb839
hex7f16f988

2132212104 has 192 divisors, whose sum is σ = 6507483840. Its totient is φ = 625121280.

The previous prime is 2132212099. The next prime is 2132212109. The reversal of 2132212104 is 4012122312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132212099) and next prime (2132212109).

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

It is not an unprimeable number, because it can be changed into a prime (2132212109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4665444 + ... + 4665900.

It is an arithmetic number, because the mean of its divisors is an integer number (33893145).

Almost surely, 22132212104 is an apocalyptic number.

2132212104 is a gapful number since it is divisible by the number (24) 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 2132212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253741920).

2132212104 is an abundant number, since it is smaller than the sum of its proper divisors (4375271736).

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

2132212104 is a wasteful number, since it uses less digits than its factorization.

2132212104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2132212104 is about 46175.8822763572. The cubic root of 2132212104 is about 1287.0936118229.

Adding to 2132212104 its reverse (4012122312), we get a palindrome (6144334416).

The spelling of 2132212104 in words is "two billion, one hundred thirty-two million, two hundred twelve thousand, one hundred four".