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212213010 = 23529353691
BaseRepresentation
bin11001010011000…
…01110100010010
3112210022112112010
430221201310102
5413311304020
633020243350
75154531552
oct1451416422
9483275463
10212213010
11a9874859
125b0a0556
1334c72239
1420281162
151396cde0
hexca61d12

212213010 has 64 divisors (see below), whose sum is σ = 529130880. Its totient is φ = 54405120.

The previous prime is 212212999. The next prime is 212213051. The reversal of 212213010 is 10312212.

It is a super-2 number, since 2×2122130102 = 90068723226520200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306765 + ... + 307455.

It is an arithmetic number, because the mean of its divisors is an integer number (8267670).

Almost surely, 2212213010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264565440).

212213010 is an abundant number, since it is smaller than the sum of its proper divisors (316917870).

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

212213010 is a wasteful number, since it uses less digits than its factorization.

212213010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212213010 is about 14567.5327355047. The cubic root of 212213010 is about 596.4728335701.

Adding to 212213010 its reverse (10312212), we get a palindrome (222525222).

The spelling of 212213010 in words is "two hundred twelve million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 353 435 691 706 870 1059 1382 1765 2073 2118 3455 3530 4146 5295 6910 10237 10365 10590 20039 20474 20730 30711 40078 51185 60117 61422 100195 102370 120234 153555 200390 243923 300585 307110 487846 601170 731769 1219615 1463538 2439230 3658845 7073767 7317690 14147534 21221301 35368835 42442602 70737670 106106505 212213010