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6228480 = 2935811
BaseRepresentation
bin10111110000101000000000
3102201102212110
4113300220000
53043302410
6341255320
7103640556
oct27605000
912642773
106228480
113574605
122104540
1313a0cbb
14b81bd6
15830720
hex5f0a00

6228480 has 80 divisors (see below), whose sum is σ = 19936224. Its totient is φ = 1658880.

The previous prime is 6228473. The next prime is 6228493. The reversal of 6228480 is 848226.

It is a happy number.

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

It is a super-2 number, since 2×62284802 = 77587926220800, which contains 22 as substring.

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

It is a zygodrome in base 4.

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, 7275 + ... + 8085.

Almost surely, 26228480 is an apocalyptic number.

6228480 is a gapful number since it is divisible by the number (60) 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 6228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968112).

6228480 is an abundant number, since it is smaller than the sum of its proper divisors (13707744).

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

6228480 is an equidigital number, since it uses as much as digits as its factorization.

6228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 6228480 is about 2495.6922887247. The cubic root of 6228480 is about 183.9899175320.

The spelling of 6228480 in words is "six million, two hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 811 960 1280 1536 1622 1920 2433 2560 3244 3840 4055 4866 6488 7680 8110 9732 12165 12976 16220 19464 24330 25952 32440 38928 48660 51904 64880 77856 97320 103808 129760 155712 194640 207616 259520 311424 389280 415232 519040 622848 778560 1038080 1245696 1557120 2076160 3114240 6228480