Search a number
-
+
2172664 = 231321607
BaseRepresentation
bin1000010010011011111000
311002101100001
420102123320
51024011124
6114322344
724316204
oct10223370
94071301
102172664
11125439a
128893b4
135b0c00
14407b04
152cdb44
hex2126f8

2172664 has 24 divisors (see below), whose sum is σ = 4413960. Its totient is φ = 1002144.

The previous prime is 2172659. The next prime is 2172673. The reversal of 2172664 is 4662712.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 549 + ... + 2155.

It is an arithmetic number, because the mean of its divisors is an integer number (183915).

22172664 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 2172664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206980).

2172664 is an abundant number, since it is smaller than the sum of its proper divisors (2241296).

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

2172664 is a wasteful number, since it uses less digits than its factorization.

2172664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1622 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 2172664 is about 1473.9959294381. The cubic root of 2172664 is about 129.5182167046.

The spelling of 2172664 in words is "two million, one hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1607 3214 6428 12856 20891 41782 83564 167128 271583 543166 1086332 2172664