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212321504 = 25191372549
BaseRepresentation
bin11001010011111…
…00010011100000
3112210112001100102
430221330103200
5413323242004
633022441532
75155463063
oct1451742340
9483461312
10212321504
11a993931a
125b1332a8
1334cac735
14202ac8da
151399011e
hexca7c4e0

212321504 has 48 divisors (see below), whose sum is σ = 443394000. Its totient is φ = 99800064.

The previous prime is 212321489. The next prime is 212321509. The reversal of 212321504 is 405123212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212321509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82022 + ... + 84570.

It is an arithmetic number, because the mean of its divisors is an integer number (9237375).

Almost surely, 2212321504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212321504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221697000).

212321504 is an abundant number, since it is smaller than the sum of its proper divisors (231072496).

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

212321504 is a wasteful number, since it uses less digits than its factorization.

212321504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 212321504 is about 14571.2560886150. The cubic root of 212321504 is about 596.5744652568.

Adding to 212321504 its reverse (405123212), we get a palindrome (617444716).

The spelling of 212321504 in words is "two hundred twelve million, three hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 137 152 274 304 548 608 1096 2192 2549 2603 4384 5098 5206 10196 10412 20392 20824 40784 41648 48431 81568 83296 96862 193724 349213 387448 698426 774896 1396852 1549792 2793704 5587408 6635047 11174816 13270094 26540188 53080376 106160752 212321504