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4002244224 = 27311947501
BaseRepresentation
bin1110111010001101…
…0110011010000000
3101022220221001221120
43232203112122000
531144033303344
61501045552240
7201115341336
oct35643263200
911286831846
104002244224
111774187360
12938415680
134ba229064
1429d779b56
1518656a219
hexee8d6680

4002244224 has 64 divisors (see below), whose sum is σ = 11597424480. Its totient is φ = 1212800000.

The previous prime is 4002244223. The next prime is 4002244229. The reversal of 4002244224 is 4224422004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4002244194 and 4002244203.

It is not an unprimeable number, because it can be changed into a prime (4002244223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469527 + ... + 477974.

Almost surely, 24002244224 is an apocalyptic number.

4002244224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4002244224 is an abundant number, since it is smaller than the sum of its proper divisors (7595180256).

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

4002244224 is a wasteful number, since it uses less digits than its factorization.

4002244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947529 (or 947517 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4002244224 is about 63263.2928640298. The cubic root of 4002244224 is about 1587.6978700928.

Adding to 4002244224 its reverse (4224422004), we get a palindrome (8226666228).

The spelling of 4002244224 in words is "four billion, two million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 947501 1895002 2842503 3790004 5685006 7580008 10422511 11370012 15160016 20845022 22740024 30320032 31267533 41690044 45480048 60640064 62535066 83380088 90960096 121280128 125070132 166760176 181920192 250140264 333520352 363840384 500280528 667040704 1000561056 1334081408 2001122112 4002244224