Search a number
-
+
202114432 = 2713235281
BaseRepresentation
bin11000000110000…
…00010110000000
3112002022110212201
430003000112000
5403220130212
632020002544
75002641622
oct1403002600
9462273781
10202114432
11a40a7623
1257830454
1332b47850
141cbb2c12
1512b25b57
hexc0c0580

202114432 has 64 divisors (see below), whose sum is σ = 452561760. Its totient is φ = 89210880.

The previous prime is 202114417. The next prime is 202114439. The reversal of 202114432 is 234411202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202114439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35632 + ... + 40912.

Almost surely, 2202114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226280880).

202114432 is an abundant number, since it is smaller than the sum of its proper divisors (250447328).

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

202114432 is a wasteful number, since it uses less digits than its factorization.

202114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 202114432 is about 14216.6955372900. The cubic root of 202114432 is about 586.8572062451.

Adding to 202114432 its reverse (234411202), we get a palindrome (436525634).

The spelling of 202114432 in words is "two hundred two million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 598 736 832 1196 1472 1664 2392 2944 4784 5281 9568 10562 19136 21124 38272 42248 68653 84496 121463 137306 168992 242926 274612 337984 485852 549224 675968 971704 1098448 1579019 1943408 2196896 3158038 3886816 4393792 6316076 7773632 8787584 12632152 15547264 25264304 50528608 101057216 202114432