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8212160292 = 22372102113679
BaseRepresentation
bin1111010010111101…
…11001111100100100
3210012022121222002220
413221132321330210
5113304303112132
63434515032340
7410335132200
oct75136717444
923168558086
108212160292
113534606636
12171229b6b0
13a0b49735b
1457c933b00
15330e57a2c
hex1e97b9f24

8212160292 has 72 divisors (see below), whose sum is σ = 22313612160. Its totient is φ = 2343862080.

The previous prime is 8212160291. The next prime is 8212160293. The reversal of 8212160292 is 2920612128.

It is an interprime number because it is at equal distance from previous prime (8212160291) and next prime (8212160293).

It is not an unprimeable number, because it can be changed into a prime (8212160291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593509 + ... + 607187.

It is an arithmetic number, because the mean of its divisors is an integer number (309911280).

Almost surely, 28212160292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8212160292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156806080).

8212160292 is an abundant number, since it is smaller than the sum of its proper divisors (14101451868).

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

8212160292 is a wasteful number, since it uses less digits than its factorization.

8212160292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14712 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8212160292 is about 90620.9704869684. The cubic root of 8212160292 is about 2017.5259954670.

The spelling of 8212160292 in words is "eight billion, two hundred twelve million, one hundred sixty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1021 2042 3063 4084 6126 7147 12252 13679 14294 21441 27358 28588 41037 42882 50029 54716 82074 85764 95753 100058 150087 164148 191506 200116 287259 300174 383012 574518 600348 670271 1149036 1340542 2010813 2681084 4021626 8043252 13966259 27932518 41898777 55865036 83797554 97763813 167595108 195527626 293291439 391055252 586582878 684346691 1173165756 1368693382 2053040073 2737386764 4106080146 8212160292