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2212434 = 23471951
BaseRepresentation
bin1000011100001001010010
311011101220000
420130021102
51031244214
6115230430
724543150
oct10341122
94141800
102212434
111281264
128a8416
135c6043
144183d0
152da809
hex21c252

2212434 has 40 divisors (see below), whose sum is σ = 5668608. Its totient is φ = 631800.

The previous prime is 2212433. The next prime is 2212447. The reversal of 2212434 is 4342122.

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

It is a d-powerful number, because it can be written as 29 + 215 + 1 + 221 + 47 + 34 + 48 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159 + ... + 2109.

22212434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834304).

2212434 is an abundant number, since it is smaller than the sum of its proper divisors (3456174).

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

2212434 is a wasteful number, since it uses less digits than its factorization.

2212434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1963 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2212434 is about 1487.4252922416. The cubic root of 2212434 is about 130.3037080658.

Adding to 2212434 its reverse (4342122), we get a palindrome (6554556).

The spelling of 2212434 in words is "two million, two hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1951 3902 5853 11706 13657 17559 27314 35118 40971 52677 81942 105354 122913 158031 245826 316062 368739 737478 1106217 2212434