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212504033 = 7210740531
BaseRepresentation
bin11001010101010…
…00110111100001
3112210212022201202
430222220313201
5413400112113
633030410545
75160153200
oct1452506741
9483768652
10212504033
11a9a53475
125b200a55
1335044841
1420319237
15139c9258
hexcaa8de1

212504033 has 12 divisors (see below), whose sum is σ = 249514992. Its totient is φ = 180439560.

The previous prime is 212504027. The next prime is 212504041. The reversal of 212504033 is 330405212.

It is a happy number.

212504033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212504033 - 28 = 212503777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212503996 and 212504014.

It is not an unprimeable number, because it can be changed into a prime (212504003) 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, 15023 + ... + 25508.

It is an arithmetic number, because the mean of its divisors is an integer number (20792916).

Almost surely, 2212504033 is an apocalyptic number.

It is an amenable number.

212504033 is a deficient number, since it is larger than the sum of its proper divisors (37010959).

212504033 is a wasteful number, since it uses less digits than its factorization.

212504033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40652 (or 40645 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 212504033 is about 14577.5180672157. The cubic root of 212504033 is about 596.7453710909.

Adding to 212504033 its reverse (330405212), we get a palindrome (542909245).

The spelling of 212504033 in words is "two hundred twelve million, five hundred four thousand, thirty-three".

Divisors: 1 7 49 107 749 5243 40531 283717 1986019 4336817 30357719 212504033