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2241904 = 24737541
BaseRepresentation
bin1000100011010101110000
311012220022111
420203111300
51033220104
6120015104
725025110
oct10432560
94186274
102241904
1112a1415
12901494
13606592
14425040
152e4404
hex223570

2241904 has 40 divisors (see below), whose sum is σ = 5107808. Its totient is φ = 933120.

The previous prime is 2241901. The next prime is 2241917. The reversal of 2241904 is 4091422.

It is a super-2 number, since 2×22419042 = 10052267090432, which contains 22 as substring.

It is an Ulam number.

It is a pancake number, because a pancake can be divided into 2241904 parts by 2117 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241901) 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, 3874 + ... + 4414.

22241904 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 2241904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553904).

2241904 is an abundant number, since it is smaller than the sum of its proper divisors (2865904).

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

2241904 is a wasteful number, since it uses less digits than its factorization.

2241904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2241904 is about 1497.2989013554. The cubic root of 2241904 is about 130.8797139936.

The spelling of 2241904 in words is "two million, two hundred forty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 541 592 1036 1082 2072 2164 3787 4144 4328 7574 8656 15148 20017 30296 40034 60592 80068 140119 160136 280238 320272 560476 1120952 2241904