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2097585630 = 23257417571
BaseRepresentation
bin111110100000110…
…1001110111011110
312102011222101112200
41331001221313132
513243440220010
6544050312330
7102660120000
oct17501516736
95364871480
102097585630
1198703a148
124a65886a6
13275753c3a
1415c81c370
15c423bcc0
hex7d069dde

2097585630 has 240 divisors, whose sum is σ = 6748348464. Its totient is φ = 450455040.

The previous prime is 2097585629. The next prime is 2097585661. The reversal of 2097585630 is 365857902.

It is a happy number.

2097585630 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 5 + 8 + 5 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3673245 + ... + 3673815.

Almost surely, 22097585630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097585630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374174232).

2097585630 is an abundant number, since it is smaller than the sum of its proper divisors (4650762834).

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

2097585630 is a wasteful number, since it uses less digits than its factorization.

2097585630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2097585630 is about 45799.4064372018. The cubic root of 2097585630 is about 1280.0882161694.

The spelling of 2097585630 in words is "two billion, ninety-seven million, five hundred eighty-five thousand, six hundred thirty".