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212210320 = 24571722291
BaseRepresentation
bin11001010011000…
…01001010010000
3112210022101211111
430221201022100
5413311212240
633020223104
75154520660
oct1451411220
9483271744
10212210320
11a9872833
125b09aa94
1334c70c4a
14202801a0
151396c1ea
hexca61290

212210320 has 80 divisors (see below), whose sum is σ = 597068928. Its totient is φ = 68474880.

The previous prime is 212210309. The next prime is 212210329. The reversal of 212210320 is 23012212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 212210320.

It is not an unprimeable number, because it can be changed into a prime (212210329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626 + ... + 20665.

Almost surely, 2212210320 is an apocalyptic number.

212210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298534464).

212210320 is an abundant number, since it is smaller than the sum of its proper divisors (384858608).

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

212210320 is a wasteful number, since it uses less digits than its factorization.

212210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22328 (or 22322 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212210320 is about 14567.4404066054. The cubic root of 212210320 is about 596.4703132742.

Adding to 212210320 its reverse (23012212), we get a palindrome (235222532).

The spelling of 212210320 in words is "two hundred twelve million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 22291 44582 89164 111455 156037 178328 222910 312074 356656 378947 445820 624148 757894 780185 891640 1248296 1515788 1560370 1783280 1894735 2496592 2652629 3031576 3120740 3789470 5305258 6063152 6241480 7578940 10610516 12482960 13263145 15157880 21221032 26526290 30315760 42442064 53052580 106105160 212210320