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200202410420 = 225411949125269
BaseRepresentation
bin1011101001110011111…
…1100101100110110100
3201010202110011012101122
42322130333211212310
511240003304113140
6231545520243112
720315126260565
oct2723477454664
9633673135348
10200202410420
11779a6050141
1232973470498
1315b5723b65c
149992d3016c
15531b107ab5
hex2e9cfe59b4

200202410420 has 48 divisors (see below), whose sum is σ = 430903746000. Its totient is φ = 78087060480.

The previous prime is 200202410417. The next prime is 200202410437. The reversal of 200202410420 is 24014202002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1888945444 + 198313464976 = 43462^2 + 445324^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535546 + ... + 1660814.

It is an arithmetic number, because the mean of its divisors is an integer number (8977161375).

Almost surely, 2200202410420 is an apocalyptic number.

200202410420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200202410420 is an abundant number, since it is smaller than the sum of its proper divisors (230701335580).

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

200202410420 is a wasteful number, since it uses less digits than its factorization.

200202410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127268 (or 127266 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 200202410420 its reverse (24014202002), we get a palindrome (224216612422).

The spelling of 200202410420 in words is "two hundred billion, two hundred two million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1949 3898 7796 9745 19490 38980 79909 125269 159818 250538 319636 399545 501076 626345 799090 1252690 1598180 2505380 5136029 10272058 20544116 25680145 51360290 102720580 244149281 488298562 976597124 1220746405 2441492810 4882985620 10010120521 20020241042 40040482084 50050602605 100101205210 200202410420