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2235324 = 2237132389
BaseRepresentation
bin1000100001101110111100
311012120021210
420201232330
51033012244
6115524420
724666660
oct10415674
94176253
102235324
111297483
128b9710
136035a0
144228a0
152e24b9
hex221bbc

2235324 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 557568.

The previous prime is 2235323. The next prime is 2235329. The reversal of 2235324 is 4235322.

2235324 = 922 + 932 + ... + 1952.

2235324 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2235324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25072 + ... + 25160.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22235324 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 2235324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2235324 is an abundant number, since it is smaller than the sum of its proper divisors (4538436).

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

2235324 is a wasteful number, since it uses less digits than its factorization.

2235324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its digits is 1440, while the sum is 21.

The square root of 2235324 is about 1495.0999966557. The cubic root of 2235324 is about 130.7515443031.

The spelling of 2235324 in words is "two million, two hundred thirty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 89 91 92 138 156 161 178 182 267 273 276 299 322 356 364 483 534 546 598 623 644 897 966 1068 1092 1157 1196 1246 1794 1869 1932 2047 2093 2314 2492 3471 3588 3738 4094 4186 4628 6141 6279 6942 7476 8099 8188 8372 12282 12558 13884 14329 16198 24297 24564 25116 26611 28658 32396 42987 48594 53222 57316 79833 85974 97188 106444 159666 171948 186277 319332 372554 558831 745108 1117662 2235324