Search a number
-
+
220322200212 = 223215738981281
BaseRepresentation
bin1100110100110000111…
…0011111101010010100
3210001200122002102100100
43031030032133222110
512102204440401322
6245114205214100
721626534542062
oct3151416375224
9701618072310
10220322200212
1185490157a94
1236849561330
1317a1269860a
14a9410b9032
155ae7636dac
hex334c39fa94

220322200212 has 36 divisors (see below), whose sum is σ = 560472872596. Its totient is φ = 72972956160.

The previous prime is 220322200207. The next prime is 220322200229. The reversal of 220322200212 is 212002223022.

220322200212 is a `hidden beast` number, since 220 + 32 + 2 + 200 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163471427856 + 56850772356 = 404316^2 + 238434^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2203222002122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19484989 + ... + 19496292.

Almost surely, 2220322200212 is an apocalyptic number.

It is an amenable number.

220322200212 is an abundant number, since it is smaller than the sum of its proper divisors (340150672384).

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

220322200212 is a wasteful number, since it uses less digits than its factorization.

220322200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38981448 (or 38981443 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220322200212 its reverse (212002223022), we get a palindrome (432324423234).

The spelling of 220322200212 in words is "two hundred twenty billion, three hundred twenty-two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 38981281 77962562 116943843 155925124 233887686 350831529 467775372 701663058 1403326116 6120061117 12240122234 18360183351 24480244468 36720366702 55080550053 73440733404 110161100106 220322200212