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2172116060 = 225316179727
BaseRepresentation
bin1000000101110111…
…1101110001011100
312121101012221001222
42001131331301130
513422030203220
6555311552512
7104553452612
oct20135756134
95541187058
102172116060
11a15114a44
1250752b738
1328801a89a
1416869d6b2
15caa5ee25
hex8177dc5c

2172116060 has 96 divisors (see below), whose sum is σ = 4853022720. Its totient is φ = 815443200.

The previous prime is 2172116057. The next prime is 2172116069. The reversal of 2172116060 is 606112712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172116069) 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, 2987417 + ... + 2988143.

It is an arithmetic number, because the mean of its divisors is an integer number (50552320).

Almost surely, 22172116060 is an apocalyptic number.

2172116060 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 2172116060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426511360).

2172116060 is an abundant number, since it is smaller than the sum of its proper divisors (2680906660).

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

2172116060 is a wasteful number, since it uses less digits than its factorization.

2172116060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 2172116060 is about 46605.9659271214. The cubic root of 2172116060 is about 1295.0732774087.

Adding to 2172116060 its reverse (606112712), we get a palindrome (2778228772).

The spelling of 2172116060 in words is "two billion, one hundred seventy-two million, one hundred sixteen thousand, sixty".

Divisors: 1 2 4 5 10 20 31 61 62 79 122 124 155 158 244 305 310 316 395 610 620 727 790 1220 1454 1580 1891 2449 2908 3635 3782 4819 4898 7270 7564 9455 9638 9796 12245 14540 18910 19276 22537 24095 24490 37820 44347 45074 48190 48980 57433 88694 90148 96380 112685 114866 149389 177388 221735 225370 229732 287165 298778 443470 450740 574330 597556 746945 886940 1148660 1374757 1493890 1780423 2749514 2987780 3503413 3560846 5499028 6873785 7006826 7121692 8902115 13747570 14013652 17517065 17804230 27495140 35034130 35608460 70068260 108605803 217211606 434423212 543029015 1086058030 2172116060