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2193828 = 223731341
BaseRepresentation
bin1000010111100110100100
311010110100220
420113212210
51030200303
6115004340
724435000
oct10274644
94113326
102193828
11126928a
128996b0
135ba730
14411700
152d5053
hex2179a4

2193828 has 96 divisors (see below), whose sum is σ = 6585600. Its totient is φ = 564480.

The previous prime is 2193827. The next prime is 2193847. The reversal of 2193828 is 8283912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193827) 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, 53488 + ... + 53528.

It is an arithmetic number, because the mean of its divisors is an integer number (68600).

22193828 is an apocalyptic number.

2193828 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 2193828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292800).

2193828 is an abundant number, since it is smaller than the sum of its proper divisors (4391772).

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

2193828 is a wasteful number, since it uses less digits than its factorization.

2193828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 2193828 is about 1481.1576553494. The cubic root of 2193828 is about 129.9374057635.

The spelling of 2193828 in words is "two million, one hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 49 52 78 82 84 91 98 123 147 156 164 182 196 246 273 287 294 343 364 492 533 546 574 588 637 686 861 1029 1066 1092 1148 1274 1372 1599 1722 1911 2009 2058 2132 2548 3198 3444 3731 3822 4018 4116 4459 6027 6396 7462 7644 8036 8918 11193 12054 13377 14063 14924 17836 22386 24108 26117 26754 28126 42189 44772 52234 53508 56252 78351 84378 104468 156702 168756 182819 313404 365638 548457 731276 1096914 2193828