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2247072 = 25389263
BaseRepresentation
bin1000100100100110100000
311020011101220
420210212200
51033401242
6120055040
725046142
oct10444640
94204356
102247072
1112a5293
12904480
13608a39
14426c92
152e5bec
hex2249a0

2247072 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 737792.

The previous prime is 2247067. The next prime is 2247083. The reversal of 2247072 is 2707422.

2247072 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8413 + ... + 8675.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22247072 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 2247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2247072 is an abundant number, since it is smaller than the sum of its proper divisors (3740448).

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

2247072 is a wasteful number, since it uses less digits than its factorization.

2247072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 2247072 is about 1499.0236822679. The cubic root of 2247072 is about 130.9802040673.

The spelling of 2247072 in words is "two million, two hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 263 267 356 526 534 712 789 1052 1068 1424 1578 2104 2136 2848 3156 4208 4272 6312 8416 8544 12624 23407 25248 46814 70221 93628 140442 187256 280884 374512 561768 749024 1123536 2247072