Search a number
-
+
2290024 = 231153491
BaseRepresentation
bin1000101111000101101000
311022100022201
420233011220
51041240044
6121025544
725315312
oct10570550
94270281
102290024
111324590
129252b4
13622459
144387b2
153037d4
hex22f168

2290024 has 32 divisors (see below), whose sum is σ = 4782240. Its totient is φ = 1019200.

The previous prime is 2290021. The next prime is 2290031. The reversal of 2290024 is 4200922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2289983 and 2290010.

It is not an unprimeable number, because it can be changed into a prime (2290021) 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, 4419 + ... + 4909.

It is an arithmetic number, because the mean of its divisors is an integer number (149445).

22290024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391120).

2290024 is an abundant number, since it is smaller than the sum of its proper divisors (2492216).

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

2290024 is a wasteful number, since it uses less digits than its factorization.

2290024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2290024 is about 1513.2825248446. The cubic root of 2290024 is about 131.8094894856.

Multiplying 2290024 by its sum of digits (19), we get a triangular number (43510456 = T9328).

Adding to 2290024 its reverse (4200922), we get a palindrome (6490946).

The spelling of 2290024 in words is "two million, two hundred ninety thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 491 583 982 1166 1964 2332 3928 4664 5401 10802 21604 26023 43208 52046 104092 208184 286253 572506 1145012 2290024