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202090230041 = 7241577174337
BaseRepresentation
bin1011110000110110000…
…1000011000100011001
3201022122000102101001212
42330031201003010121
511302340044330131
6232501114552505
720412661420100
oct2741541030431
9638560371055
10202090230041
1178784736a47
12331bb738735
131609839909b
149ad1947037
1553cbc0ba2b
hex2f0d843119

202090230041 has 24 divisors (see below), whose sum is σ = 241237069416. Its totient is φ = 168701460480.

The previous prime is 202090229993. The next prime is 202090230053. The reversal of 202090230041 is 140032090202.

It can be written as a sum of positive squares in 4 ways, for example, as 74376198400 + 127714031641 = 272720^2 + 357371^2 .

It is not a de Polignac number, because 202090230041 - 214 = 202090213657 is a prime.

It is a super-2 number, since 2×2020902300412 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202090229989 and 202090230016.

It is not an unprimeable number, because it can be changed into a prime (202090230091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072025 + ... + 1246361.

It is an arithmetic number, because the mean of its divisors is an integer number (10051544559).

Almost surely, 2202090230041 is an apocalyptic number.

It is an amenable number.

202090230041 is a deficient number, since it is larger than the sum of its proper divisors (39146839375).

202090230041 is a wasteful number, since it uses less digits than its factorization.

202090230041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174969 (or 174962 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 202090230041 in words is "two hundred two billion, ninety million, two hundred thirty thousand, forty-one".

Divisors: 1 7 41 49 287 577 2009 4039 23657 28273 165599 174337 1159193 1220359 7147817 8542513 50034719 100592449 350243033 704147143 4124290409 4929030001 28870032863 202090230041