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202868267281 = 232195832
BaseRepresentation
bin1011110011101111100…
…1000001100100010001
3201101122020102202111221
42330323321001210101
511310433234023111
6233110231005041
720441156551201
oct2747371014421
9641566382457
10202868267281
1179043936929
1233398209781
131619062c354
149b66dd6401
155425196371
hex2f3be41911

202868267281 has 9 divisors (see below), whose sum is σ = 212082950569. Its totient is φ = 194037998836.

The previous prime is 202868267263. The next prime is 202868267299. The reversal of 202868267281 is 182762868202.

The square root of 202868267281 is 450409.

It is a perfect power (a square), and thus also a powerful number.

202868267281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202868267263) and next prime (202868267299).

It is not a de Polignac number, because 202868267281 - 27 = 202868267153 is a prime.

It is a super-2 number, since 2×2028682672812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202868267201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10349616 + ... + 10369198.

Almost surely, 2202868267281 is an apocalyptic number.

202868267281 is the 450409-th square number.

202868267281 is the 225205-th centered octagonal number.

It is an amenable number.

202868267281 is a deficient number, since it is larger than the sum of its proper divisors (9214683288).

202868267281 is an frugal number, since it uses more digits than its factorization.

202868267281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39212 (or 19606 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 202868267281 in words is "two hundred two billion, eight hundred sixty-eight million, two hundred sixty-seven thousand, two hundred eighty-one".

Divisors: 1 23 529 19583 450409 10359407 383493889 8820359447 202868267281