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2133414 = 232296167
BaseRepresentation
bin1000001000110110100110
311000101111100
420020312212
51021232124
6113420530
724063603
oct10106646
94011440
102133414
111227958
1286a746
1359909a
143d76aa
152c21c9
hex208da6

2133414 has 48 divisors (see below), whose sum is σ = 4932720. Its totient is φ = 665280.

The previous prime is 2133413. The next prime is 2133427. The reversal of 2133414 is 4143312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31809 + ... + 31875.

It is an arithmetic number, because the mean of its divisors is an integer number (102765).

22133414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466360).

2133414 is an abundant number, since it is smaller than the sum of its proper divisors (2799306).

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

2133414 is a wasteful number, since it uses less digits than its factorization.

2133414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2133414 is about 1460.6211007650. The cubic root of 2133414 is about 128.7335404855.

Adding to 2133414 its reverse (4143312), we get a palindrome (6276726).

The spelling of 2133414 in words is "two million, one hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 61 67 87 122 134 174 183 201 261 366 402 522 549 603 1098 1206 1769 1943 3538 3886 4087 5307 5829 8174 10614 11658 12261 15921 17487 24522 31842 34974 36783 73566 118523 237046 355569 711138 1066707 2133414