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6228352 = 271319197
BaseRepresentation
bin10111110000100110000000
3102201102200201
4113300212000
53043301402
6341254544
7103640314
oct27604600
912642621
106228352
1135744a9
122104454
1313a0c20
14b81b44
15830687
hex5f0980

6228352 has 64 divisors (see below), whose sum is σ = 14137200. Its totient is φ = 2709504.

The previous prime is 6228337. The next prime is 6228353. The reversal of 6228352 is 2538226.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 6 + 25 + 211 + 84 + 314 + 58 + 220 .

It is a self number, because there is not a number n which added to its sum of digits gives 6228352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6228353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31518 + ... + 31714.

Almost surely, 26228352 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 6228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068600).

6228352 is an abundant number, since it is smaller than the sum of its proper divisors (7908848).

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

6228352 is a wasteful number, since it uses less digits than its factorization.

6228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 6228352 is about 2495.6666444059. Note that the first 4 decimals coincide. The cubic root of 6228352 is about 183.9886571458.

The spelling of 6228352 in words is "six million, two hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 197 208 247 304 394 416 494 608 788 832 988 1216 1576 1664 1976 2432 2561 3152 3743 3952 5122 6304 7486 7904 10244 12608 14972 15808 20488 25216 29944 31616 40976 48659 59888 81952 97318 119776 163904 194636 239552 327808 389272 479104 778544 1557088 3114176 6228352