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2192187690 = 23257111372309
BaseRepresentation
bin1000001010101010…
…0010000100101010
312122202222200011200
42002222202010222
513442200001230
61001310105030
7105216200520
oct20252420452
95582880150
102192187690
11a25484070
125121ab176
1328c2277a4
1416b206310
15cc6c7160
hex82aa212a

2192187690 has 192 divisors, whose sum is σ = 7161073920. Its totient is φ = 451998720.

The previous prime is 2192187671. The next prime is 2192187709. The reversal of 2192187690 is 967812912.

It is an interprime number because it is at equal distance from previous prime (2192187671) and next prime (2192187709).

It is a super-2 number, since 2×21921876902 = 9611373736375072200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948256 + ... + 950564.

It is an arithmetic number, because the mean of its divisors is an integer number (37297260).

Almost surely, 22192187690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2192187690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580536960).

2192187690 is an abundant number, since it is smaller than the sum of its proper divisors (4968886230).

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

2192187690 is a wasteful number, since it uses less digits than its factorization.

2192187690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2192187690 is about 46820.8040298327. The cubic root of 2192187690 is about 1299.0501325620.

The spelling of 2192187690 in words is "two billion, one hundred ninety-two million, one hundred eighty-seven thousand, six hundred ninety".