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2220993 = 33431913
BaseRepresentation
bin1000011110001111000001
311011211122000
420132033001
51032032433
6115334213
724610125
oct10361701
94154560
102220993
111287735
128b1369
135c9bc8
1441b585
152dd113
hex21e3c1

2220993 has 16 divisors (see below), whose sum is σ = 3368640. Its totient is φ = 1445472.

The previous prime is 2220979. The next prime is 2221007. The reversal of 2220993 is 3990222.

It is an interprime number because it is at equal distance from previous prime (2220979) and next prime (2221007).

It is not a de Polignac number, because 2220993 - 25 = 2220961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

2220993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2220913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205 + ... + 2117.

It is an arithmetic number, because the mean of its divisors is an integer number (210540).

22220993 is an apocalyptic number.

It is an amenable number.

2220993 is a deficient number, since it is larger than the sum of its proper divisors (1147647).

2220993 is a wasteful number, since it uses less digits than its factorization.

2220993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2220993 is about 1490.2996343018. The cubic root of 2220993 is about 130.4715223896.

The spelling of 2220993 in words is "two million, two hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 43 129 387 1161 1913 5739 17217 51651 82259 246777 740331 2220993