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2196172000 = 255311193771
BaseRepresentation
bin1000001011100110…
…1110110011100000
312200001111002121201
42002321232303200
513444210001000
61001531330544
7105265103551
oct20271566340
95601432551
102196172000
11a27755590
125135b0a54
1328ccc1179
1416b962328
15ccc1296a
hex82e6ece0

2196172000 has 384 divisors, whose sum is σ = 6453457920. Its totient is φ = 725760000.

The previous prime is 2196171937. The next prime is 2196172051. The reversal of 2196172000 is 2716912.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2196172000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30931965 + ... + 30932035.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 22196172000 is an apocalyptic number.

2196172000 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 2196172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

2196172000 is an abundant number, since it is smaller than the sum of its proper divisors (4257285920).

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

2196172000 is a wasteful number, since it uses less digits than its factorization.

2196172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 2196172000 is about 46863.3332147853. Note that the first 3 decimals coincide. The cubic root of 2196172000 is about 1299.8366658698.

Adding to 2196172000 its reverse (2716912), we get a palindrome (2198888912).

It can be divided in two parts, 21961 and 72000, that added together give a triangular number (93961 = T433).

The spelling of 2196172000 in words is "two billion, one hundred ninety-six million, one hundred seventy-two thousand".