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4440221120 = 26583167177
BaseRepresentation
bin1000010001010100…
…00110010111000000
3102110110001121022002
410020222012113000
533043144033440
62012333203132
7215014154036
oct41052062700
912413047262
104440221120
111979430935
12a3b0304a8
13559ba639a
143019c8556
151aec31115
hex108a865c0

4440221120 has 56 divisors (see below), whose sum is σ = 10700729424. Its totient is φ = 1754679296.

The previous prime is 4440221113. The next prime is 4440221147. The reversal of 4440221120 is 211220444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4440221092 and 4440221101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57029 + ... + 110148.

It is an arithmetic number, because the mean of its divisors is an integer number (191084454).

Almost surely, 24440221120 is an apocalyptic number.

4440221120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440221120 is an abundant number, since it is smaller than the sum of its proper divisors (6260508304).

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

4440221120 is a wasteful number, since it uses less digits than its factorization.

4440221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167277 (or 167267 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4440221120 is about 66634.9842049955. The cubic root of 4440221120 is about 1643.6204371560.

Adding to 4440221120 its reverse (211220444), we get a palindrome (4651441564).

The spelling of 4440221120 in words is "four billion, four hundred forty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 320 332 415 664 830 1328 1660 2656 3320 5312 6640 13280 26560 167177 334354 668708 835885 1337416 1671770 2674832 3343540 5349664 6687080 10699328 13374160 13875691 26748320 27751382 53496640 55502764 69378455 111005528 138756910 222011056 277513820 444022112 555027640 888044224 1110055280 2220110560 4440221120