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2269134 = 23572329
BaseRepresentation
bin1000101001111111001110
311021021200000
420221333032
51040103014
6120345130
725200360
oct10517716
94237600
102269134
11130a91a
129151a6
13615aaa
14430d30
152ec509
hex229fce

2269134 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 598752.

The previous prime is 2269133. The next prime is 2269159. The reversal of 2269134 is 4319622.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2269098 and 2269107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78232 + ... + 78260.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

22269134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2269134 is an abundant number, since it is smaller than the sum of its proper divisors (4020786).

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

2269134 is a wasteful number, since it uses less digits than its factorization.

2269134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2269134 is about 1506.3644977229. The cubic root of 2269134 is about 131.4074681438.

The spelling of 2269134 in words is "two million, two hundred sixty-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 29 42 46 54 58 63 69 81 87 126 138 161 162 174 189 203 207 243 261 322 378 406 414 483 486 522 567 609 621 667 783 966 1134 1218 1242 1334 1449 1566 1701 1827 1863 2001 2349 2898 3402 3654 3726 4002 4347 4669 4698 5481 5589 6003 7047 8694 9338 10962 11178 12006 13041 14007 14094 16443 18009 26082 28014 32886 36018 39123 42021 49329 54027 78246 84042 98658 108054 126063 162081 252126 324162 378189 756378 1134567 2269134