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2958228 = 2233721343
BaseRepresentation
bin1011010010001110010100
312120021221000
423102032110
51224130403
6143223300
734100400
oct13221624
95507830
102958228
111740619
12ba7b30
137c7640
14570100
153d67a3
hex2d2394

2958228 has 144 divisors (see below), whose sum is σ = 9831360. Its totient is φ = 762048.

The previous prime is 2958223. The next prime is 2958233. The reversal of 2958228 is 8228592.

2958228 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2958223) and next prime (2958233).

It is a super-2 number, since 2×29582282 = 17502225799968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2958192 and 2958201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68775 + ... + 68817.

22958228 is an apocalyptic number.

2958228 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 2958228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915680).

2958228 is an abundant number, since it is smaller than the sum of its proper divisors (6873132).

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

2958228 is a wasteful number, since it uses less digits than its factorization.

2958228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2958228 is about 1719.9499992732. The cubic root of 2958228 is about 143.5524297808.

The spelling of 2958228 in words is "two million, nine hundred fifty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 43 49 52 54 63 78 84 86 91 98 108 117 126 129 147 156 172 182 189 196 234 252 258 273 294 301 351 364 378 387 441 468 516 546 559 588 602 637 702 756 774 819 882 903 1092 1118 1161 1204 1274 1323 1404 1548 1638 1677 1764 1806 1911 2107 2236 2322 2457 2548 2646 2709 3276 3354 3612 3822 3913 4214 4644 4914 5031 5292 5418 5733 6321 6708 7644 7826 8127 8428 9828 10062 10836 11466 11739 12642 15093 15652 16254 17199 18963 20124 22932 23478 25284 27391 30186 32508 34398 35217 37926 46956 54782 56889 60372 68796 70434 75852 82173 105651 109564 113778 140868 164346 211302 227556 246519 328692 422604 493038 739557 986076 1479114 2958228