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4222144 = 26371783
BaseRepresentation
bin10000000110110011000000
321221111200201
4100012303000
52040102034
6230254544
750613313
oct20066300
97844621
104222144
112424183
1214b7454
13b4aa14
147bc97a
15586014
hex406cc0

4222144 has 28 divisors (see below), whose sum is σ = 8609584. Its totient is φ = 2052864.

The previous prime is 4222117. The next prime is 4222177. The reversal of 4222144 is 4412224.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1477 + ... + 3259.

Almost surely, 24222144 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 4222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304792).

4222144 is an abundant number, since it is smaller than the sum of its proper divisors (4387440).

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

4222144 is a wasteful number, since it uses less digits than its factorization.

4222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1822 counting only the distinct ones).

The product of its digits is 512, while the sum is 19.

The square root of 4222144 is about 2054.7856335881. The cubic root of 4222144 is about 161.6259214047.

Adding to 4222144 its reverse (4412224), we get a palindrome (8634368).

The spelling of 4222144 in words is "four million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1783 2368 3566 7132 14264 28528 57056 65971 114112 131942 263884 527768 1055536 2111072 4222144