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212213130 = 23537414663
BaseRepresentation
bin11001010011000…
…01110110001010
3112210022112200120
430221201312022
5413311310010
633020244110
75154532113
oct1451416612
9483275616
10212213130
11a9874958
125b0a0636
1334c722cc
142028120a
151396ce70
hexca61d8a

212213130 has 64 divisors (see below), whose sum is σ = 535949568. Its totient is φ = 53706240.

The previous prime is 212213129. The next prime is 212213143. The reversal of 212213130 is 31312212.

It is a super-3 number, since 3×2122131303 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 43179 + ... + 47841.

It is an arithmetic number, because the mean of its divisors is an integer number (8374212).

Almost surely, 2212213130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267974784).

212213130 is an abundant number, since it is smaller than the sum of its proper divisors (323736438).

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

212213130 is a wasteful number, since it uses less digits than its factorization.

212213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212213130 is about 14567.5368542523. The cubic root of 212213130 is about 596.4729459991.

Adding to 212213130 its reverse (31312212), we get a palindrome (243525342).

The spelling of 212213130 in words is "two hundred twelve million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 41 74 82 111 123 185 205 222 246 370 410 555 615 1110 1230 1517 3034 4551 4663 7585 9102 9326 13989 15170 22755 23315 27978 45510 46630 69945 139890 172531 191183 345062 382366 517593 573549 862655 955915 1035186 1147098 1725310 1911830 2587965 2867745 5175930 5735490 7073771 14147542 21221313 35368855 42442626 70737710 106106565 212213130