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2197132190 = 2511174128657
BaseRepresentation
bin1000001011110101…
…1001001110011110
312200010021212202022
42002331121032132
513444431212230
61002004100142
7105306213131
oct20275311636
95603255668
102197132190
11a28250a30
12513994652
13290269226
1416bb32218
15ccd521e5
hex82f5939e

2197132190 has 64 divisors (see below), whose sum is σ = 4679736768. Its totient is φ = 733593600.

The previous prime is 2197132183. The next prime is 2197132193. The reversal of 2197132190 is 912317912.

It is a super-2 number, since 2×21971321902 = 9654779720668392200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2197132190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197132193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62342 + ... + 90998.

It is an arithmetic number, because the mean of its divisors is an integer number (73120887).

Almost surely, 22197132190 is an apocalyptic number.

2197132190 is an abundant number, since it is smaller than the sum of its proper divisors (2482604578).

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

2197132190 is a wasteful number, since it uses less digits than its factorization.

2197132190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28733.

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 2197132190 is about 46873.5766717241. The cubic root of 2197132190 is about 1300.0260724554.

The spelling of 2197132190 in words is "two billion, one hundred ninety-seven million, one hundred thirty-two thousand, one hundred ninety".

Divisors: 1 2 5 10 11 17 22 34 41 55 82 85 110 170 187 205 374 410 451 697 902 935 1394 1870 2255 3485 4510 6970 7667 15334 28657 38335 57314 76670 143285 286570 315227 487169 630454 974338 1174937 1576135 2349874 2435845 3152270 4871690 5358859 5874685 10717718 11749370 12924307 19973929 25848614 26794295 39947858 53588590 64621535 99869645 129243070 199739290 219713219 439426438 1098566095 2197132190