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8222080 = 27529443
BaseRepresentation
bin11111010111010110000000
3120110201120111
4133113112000
54101101310
6452121104
7126613036
oct37272600
916421514
108222080
114706409
122906194
13191b549
141140556
15ac628a
hex7d7580

8222080 has 64 divisors (see below), whose sum is σ = 20379600. Its totient is φ = 3168256.

The previous prime is 8222069. The next prime is 8222089. The reversal of 8222080 is 802228.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8222089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18339 + ... + 18781.

Almost surely, 28222080 is an apocalyptic number.

8222080 is a gapful number since it is divisible by the number (80) 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 8222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189800).

8222080 is an abundant number, since it is smaller than the sum of its proper divisors (12157520).

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

8222080 is a wasteful number, since it uses less digits than its factorization.

8222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 8222080 is about 2867.4169560774. The cubic root of 8222080 is about 201.8338011439.

The spelling of 8222080 in words is "eight million, two hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 443 464 580 640 886 928 1160 1772 1856 2215 2320 3544 3712 4430 4640 7088 8860 9280 12847 14176 17720 18560 25694 28352 35440 51388 56704 64235 70880 102776 128470 141760 205552 256940 283520 411104 513880 822208 1027760 1644416 2055520 4111040 8222080