Search a number
-
+
202425168 = 243111073583
BaseRepresentation
bin11000001000011…
…00001101010000
3112002220021010110
430010030031100
5403310101133
632030401320
75005404561
oct1404141520
9462807113
10202425168
11a429a030
1257960240
1332c2610a
141cc54168
1512b87c63
hexc10c350

202425168 has 80 divisors (see below), whose sum is σ = 575963136. Its totient is φ = 60750720.

The previous prime is 202425163. The next prime is 202425169. The reversal of 202425168 is 861524202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202425163) 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, 54705 + ... + 58287.

Almost surely, 2202425168 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 202425168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287981568).

202425168 is an abundant number, since it is smaller than the sum of its proper divisors (373537968).

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

202425168 is a wasteful number, since it uses less digits than its factorization.

202425168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 202425168 is about 14227.6198993366. The cubic root of 202425168 is about 587.1578021088.

The spelling of 202425168 in words is "two hundred two million, four hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1712 2354 2568 3531 3583 4708 5136 7062 7166 9416 10749 14124 14332 18832 21498 28248 28664 39413 42996 56496 57328 78826 85992 118239 157652 171984 236478 315304 383381 472956 630608 766762 945912 1150143 1533524 1891824 2300286 3067048 4217191 4600572 6134096 8434382 9201144 12651573 16868764 18402288 25303146 33737528 50606292 67475056 101212584 202425168