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2276532180 = 22325132342299
BaseRepresentation
bin1000011110110001…
…0001111111010100
312212122200211001200
42013230101333110
514130243012210
61013521552500
7110262130026
oct20754217724
95778624050
102276532180
11a6905235a
125364a5730
132a3849480
141784c0016
15d4cd80c0
hex87b11fd4

2276532180 has 144 divisors (see below), whose sum is σ = 7760188800. Its totient is φ = 536000256.

The previous prime is 2276532173. The next prime is 2276532191. The reversal of 2276532180 is 812356722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32671 + ... + 74969.

It is an arithmetic number, because the mean of its divisors is an integer number (53890200).

Almost surely, 22276532180 is an apocalyptic number.

2276532180 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 2276532180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880094400).

2276532180 is an abundant number, since it is smaller than the sum of its proper divisors (5483656620).

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

2276532180 is a wasteful number, since it uses less digits than its factorization.

2276532180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42350 (or 42345 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2276532180 is about 47713.0189780525. The cubic root of 2276532180 is about 1315.5012483806.

It can be divided in two parts, 22765 and 32180, that added together give a palindrome (54945).

The spelling of 2276532180 in words is "two billion, two hundred seventy-six million, five hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 26910 42299 53820 84598 126897 169196 211495 253794 380691 422990 507588 549887 634485 761382 845980 972877 1099774 1268970 1522764 1649661 1903455 1945754 2199548 2537940 2749435 2918631 3299322 3806910 3891508 4864385 4948983 5498870 5837262 6598644 7613820 8248305 8755893 9728770 9897966 10997740 11674524 12647401 14593155 16496610 17511786 19457540 19795932 24744915 25294802 29186310 32993220 35023572 37942203 43779465 49489830 50589604 58372620 63237005 75884406 87558930 98979660 113826609 126474010 151768812 175117860 189711015 227653218 252948020 379422030 455306436 569133045 758844060 1138266090 2276532180