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202135540 = 22573138449
BaseRepresentation
bin11000000110001…
…01011111110100
3112002100112211111
430003011133310
5403221314130
632020244404
75003060305
oct1403053764
9462315744
10202135540
11a4111472
1257840704
1332b54339
141cbba7ac
1512b2c02a
hexc0c57f4

202135540 has 24 divisors (see below), whose sum is σ = 430302600. Its totient is φ = 79746048.

The previous prime is 202135529. The next prime is 202135541. The reversal of 202135540 is 45531202.

202135540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64448784 + 137686756 = 8028^2 + 11734^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202135541) 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, 67765 + ... + 70684.

It is an arithmetic number, because the mean of its divisors is an integer number (17929275).

Almost surely, 2202135540 is an apocalyptic number.

202135540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202135540 is an abundant number, since it is smaller than the sum of its proper divisors (228167060).

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

202135540 is a wasteful number, since it uses less digits than its factorization.

202135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138531 (or 138529 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 202135540 is about 14217.4378845135. The cubic root of 202135540 is about 586.8776351849.

Adding to 202135540 its reverse (45531202), we get a palindrome (247666742).

The spelling of 202135540 in words is "two hundred two million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 138449 276898 553796 692245 1384490 2768980 10106777 20213554 40427108 50533885 101067770 202135540