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6221664 = 253319379
BaseRepresentation
bin10111101110111101100000
3102201002112000
4113232331200
53043043124
6341204000
7103611651
oct27567540
912632460
106221664
11356a479
122100600
13139ab77
14b7d528
1582d6c9
hex5eef60

6221664 has 96 divisors (see below), whose sum is σ = 19152000. Its totient is φ = 1959552.

The previous prime is 6221651. The next prime is 6221671. The reversal of 6221664 is 4661226.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16227 + ... + 16605.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 26221664 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 6221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576000).

6221664 is an abundant number, since it is smaller than the sum of its proper divisors (12930336).

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

6221664 is a wasteful number, since it uses less digits than its factorization.

6221664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6221664 is about 2494.3263619663. The cubic root of 6221664 is about 183.9227779295.

It can be divided in two parts, 622166 and 4, that added together give a triangular number (622170 = T1115).

The spelling of 6221664 in words is "six million, two hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 379 432 456 513 608 684 758 864 912 1026 1137 1368 1516 1824 2052 2274 2736 3032 3411 4104 4548 5472 6064 6822 7201 8208 9096 10233 12128 13644 14402 16416 18192 20466 21603 27288 28804 36384 40932 43206 54576 57608 64809 81864 86412 109152 115216 129618 163728 172824 194427 230432 259236 327456 345648 388854 518472 691296 777708 1036944 1555416 2073888 3110832 6221664