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6228024 = 2331131761
BaseRepresentation
bin10111110000100000111000
3102201102020120
4113300200320
53043244044
6341253240
7103636335
oct27604070
912642216
106228024
113574230
122104220
1313a0a2a
14b8198c
15830519
hex5f0838

6228024 has 64 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 1824000.

The previous prime is 6228007. The next prime is 6228031. The reversal of 6228024 is 4208226.

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

It is a junction number, because it is equal to n+sod(n) for n = 6227985 and 6228003.

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, 7804 + ... + 8564.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 26228024 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 6228024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

6228024 is an abundant number, since it is smaller than the sum of its proper divisors (11328456).

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

6228024 is a wasteful number, since it uses less digits than its factorization.

6228024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6228024 is about 2495.6009296360. The cubic root of 6228024 is about 183.9854273273.

It can be divided in two parts, 622 and 8024, that added together give a triangular number (8646 = T131).

The spelling of 6228024 in words is "six million, two hundred twenty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 761 1023 1364 1522 2046 2283 2728 3044 4092 4566 6088 8184 8371 9132 16742 18264 23591 25113 33484 47182 50226 66968 70773 94364 100452 141546 188728 200904 259501 283092 519002 566184 778503 1038004 1557006 2076008 3114012 6228024