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212233020220 = 225138310319539
BaseRepresentation
bin1100010110101000010…
…0101110001100111100
3202021210212212111111101
43011222010232030330
511434123123121340
6241255402102444
721222221622664
oct3055204561474
9667725774441
10212233020220
118200a009371
12351704aaa24
131702382c890
14a3b4a391a4
1557c23c2c9a
hex316a12e33c

212233020220 has 96 divisors (see below), whose sum is σ = 486278069760. Its totient is φ = 77335630080.

The previous prime is 212233020199. The next prime is 212233020227. The reversal of 212233020220 is 22020332212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233020227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22244211 + ... + 22253749.

It is an arithmetic number, because the mean of its divisors is an integer number (5065396560).

Almost surely, 2212233020220 is an apocalyptic number.

212233020220 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 212233020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243139034880).

212233020220 is an abundant number, since it is smaller than the sum of its proper divisors (274045049540).

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

212233020220 is a wasteful number, since it uses less digits than its factorization.

212233020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10675 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 212233020220 its reverse (22020332212), we get a palindrome (234253352432).

The spelling of 212233020220 in words is "two hundred twelve billion, two hundred thirty-three million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1031 1079 1660 2062 2158 4124 4316 5155 5395 9539 10310 10790 13403 19078 20620 21580 26806 38156 47695 53612 67015 85573 95390 124007 134030 171146 190780 248014 268060 342292 427865 496028 620035 791737 855730 1112449 1240070 1583474 1711460 2224898 2480140 3166948 3958685 4449796 5562245 7917370 9834709 10292581 11124490 15834740 19669418 20585162 22248980 39338836 41170324 49173545 51462905 98347090 102925810 127851217 196694180 205851620 255702434 511404868 639256085 816280847 1278512170 1632561694 2557024340 3265123388 4081404235 8162808470 10611651011 16325616940 21223302022 42446604044 53058255055 106116510110 212233020220