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80212288 = 2613229421
BaseRepresentation
bin1001100011111…
…11000101000000
312120221012120111
410301333011000
5131013243123
611543121104
71662536032
oct461770500
9176835514
1080212288
1141306752
1222a43194
1313805bc0
14a91dc52
15709690d
hex4c7f140

80212288 has 56 divisors (see below), whose sum is σ = 172572680. Its totient is φ = 36771840.

The previous prime is 80212261. The next prime is 80212291. The reversal of 80212288 is 88221208.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 79423744 = 888^2 + 8912^2 .

It is a super-2 number, since 2×802122882 = 12868022292389888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190318 + ... + 190738.

It is an arithmetic number, because the mean of its divisors is an integer number (3081655).

Almost surely, 280212288 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 80212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86286340).

80212288 is an abundant number, since it is smaller than the sum of its proper divisors (92360392).

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

80212288 is a wasteful number, since it uses less digits than its factorization.

80212288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 80212288 is about 8956.1313076573. The cubic root of 80212288 is about 431.2677352365.

The spelling of 80212288 in words is "eighty million, two hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 229 416 421 458 832 842 916 1684 1832 2977 3368 3664 5473 5954 6736 7328 10946 11908 13472 14656 21892 23816 26944 43784 47632 87568 95264 96409 175136 190528 192818 350272 385636 771272 1253317 1542544 2506634 3085088 5013268 6170176 10026536 20053072 40106144 80212288