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4422132 = 22321113859
BaseRepresentation
bin10000110111100111110100
322022200000200
4100313213310
52113002012
6234440500
752405341
oct20674764
98280020
104422132
112550460
121593130
13bbaa60
148317c8
155c53dc
hex4379f4

4422132 has 72 divisors (see below), whose sum is σ = 13147680. Its totient is φ = 1235520.

The previous prime is 4422127. The next prime is 4422139. The reversal of 4422132 is 2312244.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422139) 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 23 ways as a sum of consecutive naturals, for example, 4719 + ... + 5577.

Almost surely, 24422132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573840).

4422132 is an abundant number, since it is smaller than the sum of its proper divisors (8725548).

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

4422132 is a wasteful number, since it uses less digits than its factorization.

4422132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 888 counting only the distinct ones).

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

The square root of 4422132 is about 2102.8865875268. The cubic root of 4422132 is about 164.1385404788.

Adding to 4422132 its reverse (2312244), we get a palindrome (6734376).

It can be divided in two parts, 44221 and 32, that added together give a triangular number (44253 = T297).

The spelling of 4422132 in words is "four million, four hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 859 1287 1716 1718 2574 2577 3436 5148 5154 7731 9449 10308 11167 15462 18898 22334 28347 30924 33501 37796 44668 56694 67002 85041 100503 113388 122837 134004 170082 201006 245674 340164 368511 402012 491348 737022 1105533 1474044 2211066 4422132