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2193504 = 25373313
BaseRepresentation
bin1000010111100001100000
311010102220220
420113201200
51030143004
6115003040
724434025
oct10274140
94112826
102193504
111269015
12899480
135ba541
1441154c
152d4dd9
hex217860

2193504 has 48 divisors (see below), whose sum is σ = 5855472. Its totient is φ = 718848.

The previous prime is 2193481. The next prime is 2193509. The reversal of 2193504 is 4053912.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21935042 = 9622919596032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6852 + ... + 7164.

It is an arithmetic number, because the mean of its divisors is an integer number (121989).

22193504 is an apocalyptic number.

2193504 is a gapful number since it is divisible by the number (24) 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 2193504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927736).

2193504 is an abundant number, since it is smaller than the sum of its proper divisors (3661968).

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

2193504 is a wasteful number, since it uses less digits than its factorization.

2193504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2193504 is about 1481.0482774035. The cubic root of 2193504 is about 129.9310087576.

It can be divided in two parts, 219 and 3504, that multiplied together give a square (767376 = 8762).

The spelling of 2193504 in words is "two million, one hundred ninety-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 313 438 584 626 876 939 1168 1252 1752 1878 2336 2504 3504 3756 5008 7008 7512 10016 15024 22849 30048 45698 68547 91396 137094 182792 274188 365584 548376 731168 1096752 2193504