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2196864 = 27321907
BaseRepresentation
bin1000011000010110000000
311010121112100
420120112000
51030244424
6115030400
724446565
oct10302600
94117470
102196864
11127059a
1289b400
135bbc27
1441286c
152d5dc9
hex218580

2196864 has 48 divisors (see below), whose sum is σ = 6325020. Its totient is φ = 731904.

The previous prime is 2196853. The next prime is 2196869. The reversal of 2196864 is 4686912.

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

It is a super-2 number, since 2×21968642 = 9652422868992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199 + ... + 2105.

22196864 is an apocalyptic number.

2196864 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 2196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162510).

2196864 is an abundant number, since it is smaller than the sum of its proper divisors (4128156).

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

2196864 is a wasteful number, since it uses less digits than its factorization.

2196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1912 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2196864 is about 1482.1821750379. The cubic root of 2196864 is about 129.9973174989.

The spelling of 2196864 in words is "two million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1907 3814 5721 7628 11442 15256 17163 22884 30512 34326 45768 61024 68652 91536 122048 137304 183072 244096 274608 366144 549216 732288 1098432 2196864