Search a number
-
+
4422114 = 238337
BaseRepresentation
bin10000110111100111100010
322022200000000
4100313213202
52113001424
6234440430
752405314
oct20674742
98280000
104422114
112550444
121593116
13bbaa48
148317b4
155c53c9
hex4379e2

4422114 has 36 divisors (see below), whose sum is σ = 9978774. Its totient is φ = 1469664.

The previous prime is 4422101. The next prime is 4422127. The reversal of 4422114 is 4112244.

4422114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4422101) and next prime (4422127).

It can be written as a sum of positive squares in only one way, i.e., 4100625 + 321489 = 2025^2 + 567^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12954 + ... + 13290.

Almost surely, 24422114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989387).

4422114 is an abundant number, since it is smaller than the sum of its proper divisors (5556660).

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

4422114 is an frugal number, since it uses more digits than its factorization.

4422114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4422114 is about 2102.8823076910. The cubic root of 4422114 is about 164.1383177735.

Adding to 4422114 its reverse (4112244), we get a palindrome (8534358).

It can be divided in two parts, 442 and 2114, that added together give a triangular number (2556 = T71).

The spelling of 4422114 in words is "four million, four hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 337 486 674 729 1011 1458 2022 2187 3033 4374 6066 6561 9099 13122 18198 27297 54594 81891 163782 245673 491346 737019 1474038 2211057 4422114