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212221002 = 23741251491
BaseRepresentation
bin11001010011000…
…11110001001010
3112210022221111010
430221203301022
5413312033002
633020344350
75154564060
oct1451436112
9483287433
10212221002
11a987a864
125b0a50b6
1334c75a76
1420284030
151397046c
hexca63c4a

212221002 has 64 divisors (see below), whose sum is σ = 499903488. Its totient is φ = 58800000.

The previous prime is 212220997. The next prime is 212221007. The reversal of 212221002 is 200122212.

It is an interprime number because it is at equal distance from previous prime (212220997) and next prime (212221007).

It is not an unprimeable number, because it can be changed into a prime (212221007) 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 31 ways as a sum of consecutive naturals, for example, 431977 + ... + 432467.

It is an arithmetic number, because the mean of its divisors is an integer number (7810992).

Almost surely, 2212221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249951744).

212221002 is an abundant number, since it is smaller than the sum of its proper divisors (287682486).

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

212221002 is a wasteful number, since it uses less digits than its factorization.

212221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212221002 is about 14567.8070415557. The cubic root of 212221002 is about 596.4803212528.

Adding to 212221002 its reverse (200122212), we get a palindrome (412343214).

The spelling of 212221002 in words is "two hundred twelve million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 251 287 491 502 574 753 861 982 1473 1506 1722 1757 2946 3437 3514 5271 6874 10291 10311 10542 20131 20582 20622 30873 40262 60393 61746 72037 120786 123241 140917 144074 216111 246482 281834 369723 422751 432222 739446 845502 862687 1725374 2588061 5052881 5176122 10105762 15158643 30317286 35370167 70740334 106110501 212221002