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4022200224 = 253271995139
BaseRepresentation
bin1110111110111101…
…1110011110100000
3101101022110221102200
43233233132132200
531214140401344
61503041413200
7201450065160
oct35757363640
911338427380
104022200224
111784477619
1294303a200
134c13c5443
142a22925a0
151881ad069
hexefbde7a0

4022200224 has 72 divisors (see below), whose sum is σ = 13072157280. Its totient is φ = 1149199488.

The previous prime is 4022200223. The next prime is 4022200241. The reversal of 4022200224 is 4220022204.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 4022200197 and 4022200206.

It is not an unprimeable number, because it can be changed into a prime (4022200223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995554 + ... + 999585.

It is an arithmetic number, because the mean of its divisors is an integer number (181557740).

Almost surely, 24022200224 is an apocalyptic number.

It is an amenable number.

4022200224 is an abundant number, since it is smaller than the sum of its proper divisors (9049957056).

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

4022200224 is a wasteful number, since it uses less digits than its factorization.

4022200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995162 (or 1995151 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4022200224 is about 63420.8185377641. The cubic root of 4022200224 is about 1590.3323572462.

Adding to 4022200224 its reverse (4220022204), we get a palindrome (8242222428).

The spelling of 4022200224 in words is "four billion, twenty-two million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1995139 3990278 5985417 7980556 11970834 13965973 15961112 17956251 23941668 27931946 31922224 35912502 41897919 47883336 55863892 63844448 71825004 83795838 95766672 111727784 125693757 143650008 167591676 191533344 223455568 251387514 287300016 335183352 446911136 502775028 574600032 670366704 1005550056 1340733408 2011100112 4022200224