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2122912 = 251137163
BaseRepresentation
bin1000000110010010100000
310222212002101
420012102200
51020413122
6113300144
724021151
oct10062240
93885071
102122912
11121aa80
12864654
1359437c
143d3928
152be027
hex2064a0

2122912 has 48 divisors (see below), whose sum is σ = 4711392. Its totient is φ = 933120.

The previous prime is 2122873. The next prime is 2122921. The reversal of 2122912 is 2192212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122912.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12943 + ... + 13105.

It is an arithmetic number, because the mean of its divisors is an integer number (98154).

22122912 is an apocalyptic number.

2122912 is a gapful number since it is divisible by the number (22) 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 2122912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355696).

2122912 is an abundant number, since it is smaller than the sum of its proper divisors (2588480).

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

2122912 is a wasteful number, since it uses less digits than its factorization.

2122912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 2122912 is about 1457.0216196062. The cubic root of 2122912 is about 128.5219572163.

The spelling of 2122912 in words is "two million, one hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 163 176 296 326 352 407 592 652 814 1184 1304 1628 1793 2608 3256 3586 5216 6031 6512 7172 12062 13024 14344 24124 28688 48248 57376 66341 96496 132682 192992 265364 530728 1061456 2122912