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2278380 = 22351323127
BaseRepresentation
bin1000101100001111101100
311021202100110
420230033230
51040402010
6120500020
725236336
oct10541754
94252313
102278380
111316865
1291a610
1361a070
14434456
15300120
hex22c3ec

2278380 has 96 divisors (see below), whose sum is σ = 7225344. Its totient is φ = 532224.

The previous prime is 2278379. The next prime is 2278421. The reversal of 2278380 is 838722.

2278380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17877 + ... + 18003.

It is an arithmetic number, because the mean of its divisors is an integer number (75264).

22278380 is an apocalyptic number.

2278380 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 2278380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612672).

2278380 is an abundant number, since it is smaller than the sum of its proper divisors (4946964).

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

2278380 is a wasteful number, since it uses less digits than its factorization.

2278380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

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

The square root of 2278380 is about 1509.4303561278. The cubic root of 2278380 is about 131.5857074983.

The spelling of 2278380 in words is "two million, two hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 127 130 138 156 195 230 254 260 276 299 345 381 390 460 508 598 635 690 762 780 897 1196 1270 1380 1495 1524 1651 1794 1905 2540 2921 2990 3302 3588 3810 4485 4953 5842 5980 6604 7620 8255 8763 8970 9906 11684 14605 16510 17526 17940 19812 24765 29210 33020 35052 37973 43815 49530 58420 75946 87630 99060 113919 151892 175260 189865 227838 379730 455676 569595 759460 1139190 2278380