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4225144 = 23711193
BaseRepresentation
bin10000000111100001111000
321221122210211
4100013201320
52040201034
6230320504
750625130
oct20074170
97848724
104225144
112426460
1214b9134
13b4c1b1
147bdac0
15586d64
hex407878

4225144 has 64 divisors (see below), whose sum is σ = 10425600. Its totient is φ = 1559520.

The previous prime is 4225121. The next prime is 4225147. The reversal of 4225144 is 4415224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222367 + ... + 222385.

It is an arithmetic number, because the mean of its divisors is an integer number (162900).

Almost surely, 24225144 is an apocalyptic number.

4225144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212800).

4225144 is an abundant number, since it is smaller than the sum of its proper divisors (6200456).

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

4225144 is a wasteful number, since it uses less digits than its factorization.

4225144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 39 counting only the distinct ones).

The product of its digits is 1280, while the sum is 22.

The square root of 4225144 is about 2055.5155071174. The cubic root of 4225144 is about 161.6641928744.

It can be divided in two parts, 4225 and 144, that multiplied together give a square (608400 = 7802).

The spelling of 4225144 in words is "four million, two hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 361 418 532 616 722 836 1064 1444 1463 1672 2527 2888 2926 3971 5054 5852 6859 7942 10108 11704 13718 15884 20216 27436 27797 31768 48013 54872 55594 75449 96026 111188 150898 192052 222376 301796 384104 528143 603592 1056286 2112572 4225144