Search a number
-
+
2292024 = 233721949
BaseRepresentation
bin1000101111100100111000
311022110001210
420233210320
51041321044
6121043120
725324200
oct10574470
94273053
102292024
111326039
129264a0
13623337
14439400
153041b9
hex22f938

2292024 has 48 divisors (see below), whose sum is σ = 6669000. Its totient is φ = 654528.

The previous prime is 2292001. The next prime is 2292041. The reversal of 2292024 is 4202922.

2292024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202 + ... + 2150.

22292024 is an apocalyptic number.

2292024 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 2292024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334500).

2292024 is an abundant number, since it is smaller than the sum of its proper divisors (4376976).

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

2292024 is a wasteful number, since it uses less digits than its factorization.

2292024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2292024 is about 1513.9431957640. The cubic root of 2292024 is about 131.8478504040.

Adding to 2292024 its reverse (4202922), we get a palindrome (6494946).

The spelling of 2292024 in words is "two million, two hundred ninety-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1949 3898 5847 7796 11694 13643 15592 23388 27286 40929 46776 54572 81858 95501 109144 163716 191002 286503 327432 382004 573006 764008 1146012 2292024