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22122828 = 22337132251
BaseRepresentation
bin101010001100…
…1000101001100
31112121221211000
41110121011030
521130412303
62110100300
7356020020
oct124310514
945557730
1022122828
1111540232
1274aa690
134777740
142d1c380
151e1eda3
hex151914c

22122828 has 96 divisors (see below), whose sum is σ = 70622720. Its totient is φ = 5832000.

The previous prime is 22122827. The next prime is 22122839. The reversal of 22122828 is 82822122.

It is a Harshad number since it is a multiple of its sum of digits (27).

22122828 is a modest number, since divided by 2828 gives 2212 as remainder.

It is not an unprimeable number, because it can be changed into a prime (22122827) 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, 8703 + ... + 10953.

Almost surely, 222122828 is an apocalyptic number.

22122828 is a gapful number since it is divisible by the number (28) 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 22122828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35311360).

22122828 is an abundant number, since it is smaller than the sum of its proper divisors (48499892).

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

22122828 is a wasteful number, since it uses less digits than its factorization.

22122828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 22122828 is about 4703.4910438949. The cubic root of 22122828 is about 280.7244336072.

It can be divided in two parts, 2 and 2122828, that added together give a triangular number (2122830 = T2060).

The spelling of 22122828 in words is "twenty-two million, one hundred twenty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2251 2457 3276 4502 4914 6753 9004 9828 13506 15757 20259 27012 29263 31514 40518 47271 58526 60777 63028 81036 87789 94542 117052 121554 141813 175578 189084 204841 243108 263367 283626 351156 409682 425439 526734 567252 614523 790101 819364 850878 1053468 1229046 1580202 1701756 1843569 2458092 3160404 3687138 5530707 7374276 11061414 22122828