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4224244240 = 245591038689
BaseRepresentation
bin1111101111001000…
…1101101000010000
3101220101122211201101
43323302031220100
532122401303430
61535100114144
7206452324606
oct37362155020
911811584641
104224244240
111878526247
1299a835954
13524216c08
142c1047876
1519acbcdca
hexfbc8da10

4224244240 has 80 divisors (see below), whose sum is σ = 10085961600. Its totient is φ = 1644742656.

The previous prime is 4224244151. The next prime is 4224244249. The reversal of 4224244240 is 424424224.

4224244240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4224244199 and 4224244208.

It is not an unprimeable number, because it can be changed into a prime (4224244249) 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, 481816 + ... + 490504.

It is an arithmetic number, because the mean of its divisors is an integer number (126074520).

Almost surely, 24224244240 is an apocalyptic number.

4224244240 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 4224244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042980800).

4224244240 is an abundant number, since it is smaller than the sum of its proper divisors (5861717360).

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

4224244240 is a wasteful number, since it uses less digits than its factorization.

4224244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8864 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4224244240 is about 64994.1862015365. The cubic root of 4224244240 is about 1616.5271639761.

Adding to 4224244240 its reverse (424424224), we get a palindrome (4648668464).

The spelling of 4224244240 in words is "four billion, two hundred twenty-four million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 103 118 206 236 295 412 472 515 590 824 944 1030 1180 1648 2060 2360 4120 4720 6077 8240 8689 12154 17378 24308 30385 34756 43445 48616 60770 69512 86890 97232 121540 139024 173780 243080 347560 486160 512651 695120 894967 1025302 1789934 2050604 2563255 3579868 4101208 4474835 5126510 7159736 8202416 8949670 10253020 14319472 17899340 20506040 35798680 41012080 52803053 71597360 105606106 211212212 264015265 422424424 528030530 844848848 1056061060 2112122120 4224244240