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2153214 = 232723743
BaseRepresentation
bin1000001101101011111110
311001101122200
420031223332
51022400324
6114052330
724205410
oct10155376
94041580
102153214
111240818
1287a0a6
135a50bb
144009b0
152c7ec9
hex20dafe

2153214 has 48 divisors (see below), whose sum is σ = 5571072. Its totient is φ = 587664.

The previous prime is 2153209. The next prime is 2153227. The reversal of 2153214 is 4123512.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2527 + ... + 3269.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

22153214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785536).

2153214 is an abundant number, since it is smaller than the sum of its proper divisors (3417858).

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

2153214 is a wasteful number, since it uses less digits than its factorization.

2153214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 778 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2153214 is about 1467.3833854859. The cubic root of 2153214 is about 129.1305690781.

Adding to 2153214 its reverse (4123512), we get a palindrome (6276726).

It can be divided in two parts, 21 and 53214, that added together give a palindrome (53235).

The spelling of 2153214 in words is "two million, one hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 743 966 1449 1486 2229 2898 4458 5201 6687 10402 13374 15603 17089 31206 34178 46809 51267 93618 102534 119623 153801 239246 307602 358869 717738 1076607 2153214