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2172377080 = 235319718061
BaseRepresentation
bin1000000101111011…
…1101011111111000
312121101201012010101
42001132331133320
513422112031310
6555321325144
7104555620606
oct20136753770
95541635111
102172377080
11a15283065
125076367b4
132880ac633
1416872a876
15caab243a
hex817bd7f8

2172377080 has 64 divisors (see below), whose sum is σ = 5097818880. Its totient is φ = 832204800.

The previous prime is 2172377063. The next prime is 2172377099. The reversal of 2172377080 is 807732712.

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 15 ways as a sum of consecutive naturals, for example, 111250 + ... + 129310.

It is an arithmetic number, because the mean of its divisors is an integer number (79653420).

Almost surely, 22172377080 is an apocalyptic number.

2172377080 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 2172377080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548909440).

2172377080 is an abundant number, since it is smaller than the sum of its proper divisors (2925441800).

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

2172377080 is a wasteful number, since it uses less digits than its factorization.

2172377080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18200 (or 18196 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 2172377080 is about 46608.7661282725. The cubic root of 2172377080 is about 1295.1251510161.

The spelling of 2172377080 in words is "two billion, one hundred seventy-two million, three hundred seventy-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 97 124 155 194 248 310 388 485 620 776 970 1240 1940 3007 3880 6014 12028 15035 18061 24056 30070 36122 60140 72244 90305 120280 144488 180610 361220 559891 722440 1119782 1751917 2239564 2799455 3503834 4479128 5598910 7007668 8759585 11197820 14015336 17519170 22395640 35038340 54309427 70076680 108618854 217237708 271547135 434475416 543094270 1086188540 2172377080