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6228880 = 24573227
BaseRepresentation
bin10111110000101110010000
3102201110102021
4113300232100
53043311010
6341301224
7103642000
oct27605620
912643367
106228880
113574939
122104814
1313a1238
14b82000
158308da
hex5f0b90

6228880 has 80 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 2126208.

The previous prime is 6228877. The next prime is 6228889. The reversal of 6228880 is 888226.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6228889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27327 + ... + 27553.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 26228880 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 6228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

6228880 is an abundant number, since it is smaller than the sum of its proper divisors (10734320).

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

6228880 is a wasteful number, since it uses less digits than its factorization.

6228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 6228880 is about 2495.7724255228. The cubic root of 6228880 is about 183.9938561276.

The spelling of 6228880 in words is "six million, two hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 227 245 280 343 392 454 490 560 686 784 908 980 1135 1372 1589 1715 1816 1960 2270 2744 3178 3430 3632 3920 4540 5488 6356 6860 7945 9080 11123 12712 13720 15890 18160 22246 25424 27440 31780 44492 55615 63560 77861 88984 111230 127120 155722 177968 222460 311444 389305 444920 622888 778610 889840 1245776 1557220 3114440 6228880