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252004221 = 3274000067
BaseRepresentation
bin11110000010101…
…00011101111101
3122120012010210200
433001110131331
51004003113341
641001154113
76150000120
oct1701243575
9576163720
10252004221
1111a282557
127048b939
1340294a31
142567c3b7
15171ccdb6
hexf05477d

252004221 has 12 divisors (see below), whose sum is σ = 416007072. Its totient is φ = 144002376.

The previous prime is 252004217. The next prime is 252004223. The reversal of 252004221 is 122400252.

It is not a de Polignac number, because 252004221 - 22 = 252004217 is a prime.

It is a super-2 number, since 2×2520042212 = 127012254803633682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252004194 and 252004203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252004223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999971 + ... + 2000096.

It is an arithmetic number, because the mean of its divisors is an integer number (34667256).

Almost surely, 2252004221 is an apocalyptic number.

252004221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252004221 is a deficient number, since it is larger than the sum of its proper divisors (164002851).

252004221 is a wasteful number, since it uses less digits than its factorization.

252004221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000080 (or 4000077 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252004221 is about 15874.6408148342. The cubic root of 252004221 is about 631.6394863801.

Adding to 252004221 its reverse (122400252), we get a palindrome (374404473).

The spelling of 252004221 in words is "two hundred fifty-two million, four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 4000067 12000201 28000469 36000603 84001407 252004221