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2197104 = 243713503
BaseRepresentation
bin1000011000011001110000
311010121212020
420120121300
51030301404
6115031440
724450360
oct10303160
94117766
102197104
111270798
1289b580
135bc080
144129a0
152d5ed9
hex218670

2197104 has 80 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 578304.

The previous prime is 2197087. The next prime is 2197157. The reversal of 2197104 is 4017912.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4117 + ... + 4619.

22197104 is an apocalyptic number.

2197104 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 2197104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

2197104 is an abundant number, since it is smaller than the sum of its proper divisors (4802448).

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

2197104 is a wasteful number, since it uses less digits than its factorization.

2197104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 2197104 is about 1482.2631345345. The cubic root of 2197104 is about 130.0020512497.

It can be divided in two parts, 21 and 97104, that multiplied together give a square (2039184 = 14282).

The spelling of 2197104 in words is "two million, one hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 503 546 624 728 1006 1092 1456 1509 2012 2184 3018 3521 4024 4368 6036 6539 7042 8048 10563 12072 13078 14084 19617 21126 24144 26156 28168 39234 42252 45773 52312 56336 78468 84504 91546 104624 137319 156936 169008 183092 274638 313872 366184 549276 732368 1098552 2197104