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202440442240 = 275316313191
BaseRepresentation
bin1011110010001001100…
…1000000000110000000
3201100112102101222220001
42330202121000012000
511304044223122430
6232555545125344
720424443236651
oct2744231000600
9640472358801
10202440442240
1178944396613
1233298a89854
1316122ac7a3a
149b2626b528
1553ec8383ca
hex2f22640180

202440442240 has 32 divisors (see below), whose sum is σ = 483959183760. Its totient is φ = 80976176640.

The previous prime is 202440442229. The next prime is 202440442241. The reversal of 202440442240 is 42244044202.

202440442240 is digitally balanced in base 3, 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 202440442199 and 202440442208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202440442241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158155956 + ... + 158157235.

Almost surely, 2202440442240 is an apocalyptic number.

202440442240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202440442240 is an abundant number, since it is smaller than the sum of its proper divisors (281518741520).

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

202440442240 is an equidigital number, since it uses as much as digits as its factorization.

202440442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316313210 (or 316313198 counting only the distinct ones).

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

Adding to 202440442240 its reverse (42244044202), we get a palindrome (244684486442).

It can be divided in two parts, 202440 and 442240, that added together give a triangular number (644680 = T1135).

The spelling of 202440442240 in words is "two hundred two billion, four hundred forty million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 316313191 632626382 1265252764 1581565955 2530505528 3163131910 5061011056 6326263820 10122022112 12652527640 20244044224 25305055280 40488088448 50610110560 101220221120 202440442240