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2283876 = 223471953
BaseRepresentation
bin1000101101100101100100
311022000220000
420231211210
51041041001
6120541300
725261350
oct10554544
94260800
102283876
11131aa01
12921830
1361c70a
14436460
15301a86
hex22d964

2283876 has 120 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 606528.

The previous prime is 2283851. The next prime is 2283881. The reversal of 2283876 is 6783822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 25 + 213 + 8 + 311 + 87 + 72 + 64 .

Its product of digits (32256) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 2283876.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43066 + ... + 43118.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

22283876 is an apocalyptic number.

2283876 is the 756-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2283876 is an abundant number, since it is smaller than the sum of its proper divisors (5034204).

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

2283876 is a wasteful number, since it uses less digits than its factorization.

2283876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2283876 is about 1511.2498138958. The cubic root of 2283876 is about 131.6914279839.

Adding to 2283876 its product of digits (32256), we get a palindrome (2316132).

The spelling of 2283876 in words is "two million, two hundred eighty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 53 54 57 63 76 81 84 106 108 114 126 133 159 162 171 189 212 228 252 266 318 324 342 371 378 399 477 513 532 567 636 684 742 756 798 954 1007 1026 1113 1134 1197 1431 1484 1539 1596 1908 2014 2052 2226 2268 2394 2862 3021 3078 3339 3591 4028 4293 4452 4788 5724 6042 6156 6678 7049 7182 8586 9063 10017 10773 12084 13356 14098 14364 17172 18126 20034 21147 21546 27189 28196 30051 36252 40068 42294 43092 54378 60102 63441 81567 84588 108756 120204 126882 163134 190323 253764 326268 380646 570969 761292 1141938 2283876