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2242128 = 24376673
BaseRepresentation
bin1000100011011001010000
311012220121210
420203121100
51033222003
6120020120
725025550
oct10433120
94186553
102242128
1112a15a9
12901640
13606705
14425160
152e4503
hex223650

2242128 has 40 divisors (see below), whose sum is σ = 6620608. Its totient is φ = 640512.

The previous prime is 2242127. The next prime is 2242129. The reversal of 2242128 is 8212422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2242127) and next prime (2242129).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3001 + ... + 3672.

22242128 is an apocalyptic number.

2242128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2242128 is an abundant number, since it is smaller than the sum of its proper divisors (4378480).

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

2242128 is a wasteful number, since it uses less digits than its factorization.

2242128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6685 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 2242128 is about 1497.3737008509. The cubic root of 2242128 is about 130.8840728004.

The spelling of 2242128 in words is "two million, two hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6673 13346 20019 26692 40038 46711 53384 80076 93422 106768 140133 160152 186844 280266 320304 373688 560532 747376 1121064 2242128