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2197208640 = 2635111947233
BaseRepresentation
bin1000001011110110…
…1011111001000000
312200010102202121210
42002331223321000
513444441134030
61002005450120
7105306652044
oct20275537100
95603382553
102197208640
11a282a3410
12513a10940
13290294c73
1416bb52024
15ccd69bb0
hex82f6be40

2197208640 has 448 divisors, whose sum is σ = 8216432640. Its totient is φ = 491765760.

The previous prime is 2197208617. The next prime is 2197208647. The reversal of 2197208640 is 468027912.

It is not an unprimeable number, because it can be changed into a prime (2197208647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9429964 + ... + 9430196.

Almost surely, 22197208640 is an apocalyptic number.

2197208640 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 2197208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108216320).

2197208640 is an abundant number, since it is smaller than the sum of its proper divisors (6019224000).

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

2197208640 is a wasteful number, since it uses less digits than its factorization.

2197208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2197208640 is about 46874.3921560589. The cubic root of 2197208640 is about 1300.0411505712.

The spelling of 2197208640 in words is "two billion, one hundred ninety-seven million, two hundred eight thousand, six hundred forty".