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202304140 = 225312691213
BaseRepresentation
bin11000000111011…
…10101010001100
3112002200010002221
430003232222030
5403242213030
632024025124
75004361663
oct1403565214
9462603087
10202304140
11a4217105
12579021a4
1332bb2cbc
141cc21dda
1512b61e7a
hexc0eea8c

202304140 has 48 divisors (see below), whose sum is σ = 440536320. Its totient is φ = 77955840.

The previous prime is 202304129. The next prime is 202304143. The reversal of 202304140 is 41403202.

It is a super-2 number, since 2×2023041402 = 81853930122279200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202304143) 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, 166174 + ... + 167386.

It is an arithmetic number, because the mean of its divisors is an integer number (9177840).

Almost surely, 2202304140 is an apocalyptic number.

202304140 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 202304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220268160).

202304140 is an abundant number, since it is smaller than the sum of its proper divisors (238232180).

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

202304140 is a wasteful number, since it uses less digits than its factorization.

202304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 202304140 is about 14223.3659869948. The cubic root of 202304140 is about 587.0407601711.

Adding to 202304140 its reverse (41403202), we get a palindrome (243707342).

The spelling of 202304140 in words is "two hundred two million, three hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 269 310 538 620 1076 1213 1345 2426 2690 4852 5380 6065 8339 12130 16678 24260 33356 37603 41695 75206 83390 150412 166780 188015 326297 376030 652594 752060 1305188 1631485 3262970 6525940 10115207 20230414 40460828 50576035 101152070 202304140