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202114340 = 2252329109139
BaseRepresentation
bin11000000110000…
…00010100100100
3112002022110202022
430003000110210
5403220124330
632020002312
75002641431
oct1403002444
9462273668
10202114340
11a40a754a
1257830398
1332b477ac
141cbb2b88
1512b25ae5
hexc0c0524

202114340 has 96 divisors (see below), whose sum is σ = 465696000. Its totient is φ = 73446912.

The previous prime is 202114337. The next prime is 202114357. The reversal of 202114340 is 43411202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453991 + ... + 1454129.

It is an arithmetic number, because the mean of its divisors is an integer number (4851000).

Almost surely, 2202114340 is an apocalyptic number.

202114340 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 202114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848000).

202114340 is an abundant number, since it is smaller than the sum of its proper divisors (263581660).

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

202114340 is a wasteful number, since it uses less digits than its factorization.

202114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

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

The square root of 202114340 is about 14216.6923016572. The cubic root of 202114340 is about 586.8571172017.

Adding to 202114340 its reverse (43411202), we get a palindrome (245525542).

It can be divided in two parts, 2021 and 14340, that added together give a palindrome (16361).

The spelling of 202114340 in words is "two hundred two million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 109 115 116 139 145 218 230 278 290 436 460 545 556 580 667 695 1090 1334 1390 2180 2507 2668 2780 3161 3197 3335 4031 5014 6322 6394 6670 8062 10028 12535 12644 12788 13340 15151 15805 15985 16124 20155 25070 30302 31610 31970 40310 50140 60604 63220 63940 72703 75755 80620 92713 145406 151510 185426 290812 303020 348473 363515 370852 439379 463565 696946 727030 878758 927130 1393892 1454060 1742365 1757516 1854260 2196895 3484730 4393790 6969460 8787580 10105717 20211434 40422868 50528585 101057170 202114340