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2214288 = 243215377
BaseRepresentation
bin1000011100100110010000
311011111102200
420130212100
51031324123
6115243200
724551436
oct10344620
94144380
102214288
11128269a
128a9500
135c6b3b
14418d56
152db143
hex21c990

2214288 has 30 divisors (see below), whose sum is σ = 6197334. Its totient is φ = 738048.

The previous prime is 2214281. The next prime is 2214319. The reversal of 2214288 is 8824122.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 144 = 1488^2 + 12^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2214281) 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, 7545 + ... + 7832.

22214288 is an apocalyptic number.

It is an amenable number.

2214288 is an abundant number, since it is smaller than the sum of its proper divisors (3983046).

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

2214288 is a wasteful number, since it uses less digits than its factorization.

2214288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15391 (or 15382 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2214288 is about 1488.0483863101. The cubic root of 2214288 is about 130.3400956861.

The spelling of 2214288 in words is "two million, two hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15377 30754 46131 61508 92262 123016 138393 184524 246032 276786 369048 553572 738096 1107144 2214288