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202201040 = 24519137971
BaseRepresentation
bin11000000110101…
…01011111010000
3112002110212200102
430003111133100
5403230413130
632021511532
75003452256
oct1403253720
9462425612
10202201040
11a41566a8
12578725a8
1332b780b2
141cbd65d6
1512b41645
hexc0d57d0

202201040 has 80 divisors (see below), whose sum is σ = 498985920. Its totient is φ = 75985920.

The previous prime is 202201039. The next prime is 202201049. The reversal of 202201040 is 40102202.

202201040 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207755 + ... + 208725.

It is an arithmetic number, because the mean of its divisors is an integer number (6237324).

Almost surely, 2202201040 is an apocalyptic number.

202201040 is a gapful number since it is divisible by the number (20) 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 202201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249492960).

202201040 is an abundant number, since it is smaller than the sum of its proper divisors (296784880).

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

202201040 is a wasteful number, since it uses less digits than its factorization.

202201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 202201040 is about 14219.7412072091. The cubic root of 202201040 is about 586.9410189484.

Adding to 202201040 its reverse (40102202), we get a palindrome (242303242).

The spelling of 202201040 in words is "two hundred two million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 137 152 190 274 304 380 548 685 760 971 1096 1370 1520 1942 2192 2603 2740 3884 4855 5206 5480 7768 9710 10412 10960 13015 15536 18449 19420 20824 26030 36898 38840 41648 52060 73796 77680 92245 104120 133027 147592 184490 208240 266054 295184 368980 532108 665135 737960 1064216 1330270 1475920 2128432 2527513 2660540 5055026 5321080 10110052 10642160 12637565 20220104 25275130 40440208 50550260 101100520 202201040