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6225072 = 243797191
BaseRepresentation
bin10111101111110010110000
3102201021012020
4113233302300
53043200242
6341231440
7103624620
oct27576260
912637166
106225072
113571a97
122102580
13139c599
14b80880
1582e6ec
hex5efcb0

6225072 has 80 divisors (see below), whose sum is σ = 18665472. Its totient is φ = 1751040.

The previous prime is 6225029. The next prime is 6225097. The reversal of 6225072 is 2705226.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 6 + 23 + 212 + 58 + 0 + 78 + 216 .

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, 32497 + ... + 32687.

Almost surely, 26225072 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 6225072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332736).

6225072 is an abundant number, since it is smaller than the sum of its proper divisors (12440400).

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

6225072 is a wasteful number, since it uses less digits than its factorization.

6225072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 6225072 is about 2495.0094188199. The cubic root of 6225072 is about 183.9563538568.

The spelling of 6225072 in words is "six million, two hundred twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 191 194 291 336 382 388 573 582 679 764 776 1146 1164 1337 1358 1528 1552 2037 2292 2328 2674 2716 3056 4011 4074 4584 4656 5348 5432 8022 8148 9168 10696 10864 16044 16296 18527 21392 32088 32592 37054 55581 64176 74108 111162 129689 148216 222324 259378 296432 389067 444648 518756 778134 889296 1037512 1556268 2075024 3112536 6225072