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2259024 = 243192477
BaseRepresentation
bin1000100111100001010000
311020202210120
420213201100
51034242044
6120230240
725126035
oct10474120
94222716
102259024
111303269
1290b380
13611301
1442b38c
152e9519
hex227850

2259024 has 40 divisors (see below), whose sum is σ = 6145440. Its totient is φ = 713088.

The previous prime is 2258987. The next prime is 2259029. The reversal of 2259024 is 4209522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2258985 and 2259003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259029) 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, 327 + ... + 2150.

It is an arithmetic number, because the mean of its divisors is an integer number (153636).

22259024 is an apocalyptic number.

2259024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072720).

2259024 is an abundant number, since it is smaller than the sum of its proper divisors (3886416).

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

2259024 is a wasteful number, since it uses less digits than its factorization.

2259024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2259024 is about 1503.0049900117. The cubic root of 2259024 is about 131.2120180345.

The spelling of 2259024 in words is "two million, two hundred fifty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2477 4954 7431 9908 14862 19816 29724 39632 47063 59448 94126 118896 141189 188252 282378 376504 564756 753008 1129512 2259024