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2270424 = 2331319383
BaseRepresentation
bin1000101010010011011000
311021100102210
420222103120
51040123144
6120355120
725204212
oct10522330
94240383
102270424
111310892
12915aa0
13616560
144315b2
152ecab9
hex22a4d8

2270424 has 64 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 660096.

The previous prime is 2270423. The next prime is 2270441. The reversal of 2270424 is 4240722.

It is a self number, because there is not a number n which added to its sum of digits gives 2270424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5737 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

22270424 is an apocalyptic number.

2270424 is a gapful number since it is divisible by the number (24) 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 2270424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2270424 is an abundant number, since it is smaller than the sum of its proper divisors (4180776).

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

2270424 is a wasteful number, since it uses less digits than its factorization.

2270424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2270424 is about 1506.7926201040. The cubic root of 2270424 is about 131.4323650899.

The spelling of 2270424 in words is "two million, two hundred seventy thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 383 456 494 741 766 988 1149 1482 1532 1976 2298 2964 3064 4596 4979 5928 7277 9192 9958 14554 14937 19916 21831 29108 29874 39832 43662 58216 59748 87324 94601 119496 174648 189202 283803 378404 567606 756808 1135212 2270424