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8227380 = 22357191031
BaseRepresentation
bin11111011000101000110100
3120110222211210
4133120220310
54101234010
6452201420
7126634350
oct37305064
916428753
108227380
11470a397
122909270
131920a95
141142460
15ac7b20
hex7d8a34

8227380 has 96 divisors (see below), whose sum is σ = 27740160. Its totient is φ = 1779840.

The previous prime is 8227379. The next prime is 8227381. The reversal of 8227380 is 837228.

8227380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8227379) and next prime (8227381).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8227381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7465 + ... + 8495.

It is an arithmetic number, because the mean of its divisors is an integer number (288960).

Almost surely, 28227380 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 8227380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870080).

8227380 is an abundant number, since it is smaller than the sum of its proper divisors (19512780).

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

8227380 is a wasteful number, since it uses less digits than its factorization.

8227380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8227380 is about 2868.3409839139. The cubic root of 8227380 is about 201.8771595714.

The spelling of 8227380 in words is "eight million, two hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1031 1140 1330 1596 1995 2062 2660 3093 3990 4124 5155 6186 7217 7980 10310 12372 14434 15465 19589 20620 21651 28868 30930 36085 39178 43302 58767 61860 72170 78356 86604 97945 108255 117534 137123 144340 195890 216510 235068 274246 293835 391780 411369 433020 548492 587670 685615 822738 1175340 1371230 1645476 2056845 2742460 4113690 8227380