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2197000000 = 2656133
BaseRepresentation
bin1000001011110011…
…1000111101000000
312200010001011102101
42002330320331000
513444413000000
61002001200144
7105305122546
oct20274707500
95603034371
102197000000
11a28170688
12513930054
13290221000
1416bad9d96
15ccd27e6a
hex82f38f40

2197000000 has 196 divisors, whose sum is σ = 5903440060. Its totient is φ = 811200000.

The previous prime is 2196999971. The next prime is 2197000031. The reversal of 2197000000 is 7912.

The cubic root of 2197000000 is 1300.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 14 ways, for example, as 60341824 + 2136658176 = 7768^2 + 46224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 168999994 + ... + 169000006.

Almost surely, 22197000000 is an apocalyptic number.

2197000000 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 2197000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951720030).

2197000000 is an abundant number, since it is smaller than the sum of its proper divisors (3706440060).

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

2197000000 is an frugal number, since it uses more digits than its factorization.

2197000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 2197000000 is about 46872.1665810319.

Adding to 2197000000 its reverse (7912), we get a palindrome (2197007912).

The spelling of 2197000000 in words is "two billion, one hundred ninety-seven million", and thus it is an aban number.