Search a number
-
+
2164404 = 2231119863
BaseRepresentation
bin1000010000011010110100
311001222000010
420100122310
51023230104
6114220220
724253134
oct10203264
94058003
102164404
111249170
12884670
135aa218
14404ac4
152cb489
hex2106b4

2164404 has 48 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 620640.

The previous prime is 2164399. The next prime is 2164417. The reversal of 2164404 is 4044612.

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, 2077 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22164404 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 2164404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2164404 is an abundant number, since it is smaller than the sum of its proper divisors (3641676).

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

2164404 is a wasteful number, since it uses less digits than its factorization.

2164404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2164404 is about 1471.1913539713. The cubic root of 2164404 is about 129.3538748209.

The spelling of 2164404 in words is "two million, one hundred sixty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 863 1254 1726 2508 2589 3452 5178 9493 10356 16397 18986 28479 32794 37972 49191 56958 65588 98382 113916 180367 196764 360734 541101 721468 1082202 2164404