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2122212 = 22317101103
BaseRepresentation
bin1000000110000111100100
310222211010110
420012013210
51020402322
6113253020
724016131
oct10060744
93884113
102122212
11121a4a4
12864170
13593c61
143d3588
152bdc0c
hex2061e4

2122212 has 48 divisors (see below), whose sum is σ = 5346432. Its totient is φ = 652800.

The previous prime is 2122193. The next prime is 2122213.

2122212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2122213) 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, 20553 + ... + 20655.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

22122212 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 2122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673216).

2122212 is an abundant number, since it is smaller than the sum of its proper divisors (3224220).

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

2122212 is a wasteful number, since it uses less digits than its factorization.

2122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 2122212 is about 1456.7813837361. The cubic root of 2122212 is about 128.5078295683.

The spelling of 2122212 in words is "two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 103 202 204 206 303 309 404 412 606 618 1212 1236 1717 1751 3434 3502 5151 5253 6868 7004 10302 10403 10506 20604 20806 21012 31209 41612 62418 124836 176851 353702 530553 707404 1061106 2122212