Search a number
-
+
212022076 = 22747732207
BaseRepresentation
bin11001010001100…
…11001100111100
3112202221211121111
430220303030330
5413234201301
633012211404
75153105110
oct1450631474
9482854544
10212022076
11a9754362
125b009b64
1334c06366
1420231740
1513931551
hexca3333c

212022076 has 48 divisors (see below), whose sum is σ = 439197696. Its totient is φ = 87675264.

The previous prime is 212022071. The next prime is 212022077. The reversal of 212022076 is 670220212.

212022076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120220762 = 89906721422699552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022071) 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, 94965 + ... + 97171.

It is an arithmetic number, because the mean of its divisors is an integer number (9149952).

Almost surely, 2212022076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219598848).

212022076 is an abundant number, since it is smaller than the sum of its proper divisors (227175620).

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

212022076 is a wasteful number, since it uses less digits than its factorization.

212022076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 212022076 is about 14560.9778517790. The cubic root of 212022076 is about 596.2938921111.

Adding to 212022076 its reverse (670220212), we get a palindrome (882242288).

The spelling of 212022076 in words is "two hundred twelve million, twenty-two thousand, seventy-six".

Divisors: 1 2 4 7 14 28 47 73 94 146 188 292 329 511 658 1022 1316 2044 2207 3431 4414 6862 8828 13724 15449 24017 30898 48034 61796 96068 103729 161111 207458 322222 414916 644444 726103 1127777 1452206 2255554 2904412 4511108 7572217 15144434 30288868 53005519 106011038 212022076