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2148192 = 25327459
BaseRepresentation
bin1000001100011101100000
311001010202200
420030131200
51022220232
6114013200
724154644
oct10143540
94033680
102148192
111237a72
12877200
135a2a27
143dcc24
152c677c
hex20c760

2148192 has 36 divisors (see below), whose sum is σ = 6109740. Its totient is φ = 715968.

The previous prime is 2148187. The next prime is 2148199. The reversal of 2148192 is 2918412.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21481922 = 9229457737728, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148199) 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, 3442 + ... + 4017.

It is an arithmetic number, because the mean of its divisors is an integer number (169715).

22148192 is an apocalyptic number.

It is an amenable number.

2148192 is an abundant number, since it is smaller than the sum of its proper divisors (3961548).

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

2148192 is a wasteful number, since it uses less digits than its factorization.

2148192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7475 (or 7464 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2148192 is about 1465.6711773109. The cubic root of 2148192 is about 129.0300993402.

The spelling of 2148192 in words is "two million, one hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7459 14918 22377 29836 44754 59672 67131 89508 119344 134262 179016 238688 268524 358032 537048 716064 1074096 2148192