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4422120 = 233543857
BaseRepresentation
bin10000110111100111101000
322022200000020
4100313213220
52113001440
6234440440
752405323
oct20674750
98280006
104422120
11255044a
121593120
13bbaa51
148317ba
155c53d0
hex4379e8

4422120 has 64 divisors (see below), whose sum is σ = 13590720. Its totient is φ = 1150464.

The previous prime is 4422101. The next prime is 4422127. The reversal of 4422120 is 212244.

4422120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4422120.

It is not an unprimeable number, because it can be changed into a prime (4422127) 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, 4732 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (212355).

Almost surely, 24422120 is an apocalyptic number.

4422120 is a gapful number since it is divisible by the number (40) 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 4422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795360).

4422120 is an abundant number, since it is smaller than the sum of its proper divisors (9168600).

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

4422120 is a wasteful number, since it uses less digits than its factorization.

4422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4422120 is about 2102.8837343039. The cubic root of 4422120 is about 164.1383920087.

Adding to 4422120 its reverse (212244), we get a palindrome (4634364).

The spelling of 4422120 in words is "four million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 857 860 1032 1290 1714 1720 2571 2580 3428 4285 5142 5160 6856 8570 10284 12855 17140 20568 25710 34280 36851 51420 73702 102840 110553 147404 184255 221106 294808 368510 442212 552765 737020 884424 1105530 1474040 2211060 4422120