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212233220 = 22541673863
BaseRepresentation
bin11001010011001…
…10110000000100
3112210100120020122
430221212300010
5413312430340
633020521112
75154644513
oct1451466004
9483316218
10212233220
11a9888a61
125b0b0198
1334c7b4b4
142028867a
1513973db5
hexca66c04

212233220 has 48 divisors (see below), whose sum is σ = 463494528. Its totient is φ = 81565440.

The previous prime is 212233193. The next prime is 212233237. The reversal of 212233220 is 22332212.

212233220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53009 + ... + 56871.

It is an arithmetic number, because the mean of its divisors is an integer number (9656136).

Almost surely, 2212233220 is an apocalyptic number.

212233220 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 212233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231747264).

212233220 is an abundant number, since it is smaller than the sum of its proper divisors (251261308).

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

212233220 is a wasteful number, since it uses less digits than its factorization.

212233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 212233220 is about 14568.2263848418. The cubic root of 212233220 is about 596.4917678998.

Adding to 212233220 its reverse (22332212), we get a palindrome (234565432).

The spelling of 212233220 in words is "two hundred twelve million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 67 82 134 164 205 268 335 410 670 820 1340 2747 3863 5494 7726 10988 13735 15452 19315 27470 38630 54940 77260 158383 258821 316766 517642 633532 791915 1035284 1294105 1583830 2588210 3167660 5176420 10611661 21223322 42446644 53058305 106116610 212233220