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2193464 = 2371323131
BaseRepresentation
bin1000010111100000111000
311010102212102
420113200320
51030142324
6115002532
724433640
oct10274070
94112772
102193464
111268a89
12899448
135ba510
14411520
152d4dae
hex217838

2193464 has 64 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 823680.

The previous prime is 2193463. The next prime is 2193469. The reversal of 2193464 is 4643912.

2193464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21934642 = 9622568638592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16679 + ... + 16809.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

22193464 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 2193464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

2193464 is an abundant number, since it is smaller than the sum of its proper divisors (3128776).

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

2193464 is a wasteful number, since it uses less digits than its factorization.

2193464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 2193464 is about 1481.0347733933. The cubic root of 2193464 is about 129.9302189601.

The spelling of 2193464 in words is "two million, one hundred ninety-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 131 161 182 184 262 299 322 364 524 598 644 728 917 1048 1196 1288 1703 1834 2093 2392 3013 3406 3668 4186 6026 6812 7336 8372 11921 12052 13624 16744 21091 23842 24104 39169 42182 47684 78338 84364 95368 156676 168728 274183 313352 548366 1096732 2193464