Search a number
-
+
202314140 = 22572434801
BaseRepresentation
bin11000000111100…
…01000110011100
3112002200121211022
430003301012130
5403243023030
632024143312
75004433100
oct1403610634
9462617738
10202314140
11a4223676
1257907b38
1332bb7712
141cc25900
1512b64de5
hexc0f119c

202314140 has 72 divisors (see below), whose sum is σ = 505823472. Its totient is φ = 67737600.

The previous prime is 202314139. The next prime is 202314157. The reversal of 202314140 is 41413202.

It is a super-2 number, since 2×2023141402 = 81862022487879200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39740 + ... + 44540.

It is an arithmetic number, because the mean of its divisors is an integer number (7025326).

Almost surely, 2202314140 is an apocalyptic number.

202314140 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 202314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252911736).

202314140 is an abundant number, since it is smaller than the sum of its proper divisors (303509332).

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

202314140 is a wasteful number, since it uses less digits than its factorization.

202314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 202314140 is about 14223.7175168800. The cubic root of 202314140 is about 587.0504325896.

Adding to 202314140 its reverse (41413202), we get a palindrome (243727342).

The spelling of 202314140 in words is "two hundred two million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 860 980 1204 1505 2107 3010 4214 4801 6020 8428 9602 10535 19204 21070 24005 33607 42140 48010 67214 96020 134428 168035 206443 235249 336070 412886 470498 672140 825772 940996 1032215 1176245 1445101 2064430 2352490 2890202 4128860 4704980 5780404 7225505 10115707 14451010 20231414 28902020 40462828 50578535 101157070 202314140