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2922336 = 253273139
BaseRepresentation
bin1011001001011101100000
312111110200200
423021131200
51222003321
6142345200
733560634
oct13113540
95443620
102922336
11171665a
12b8b200
137b41c1
14560dc4
153cad26
hex2c9760

2922336 has 72 divisors (see below), whose sum is σ = 8484840. Its totient is φ = 953856.

The previous prime is 2922331. The next prime is 2922341. The reversal of 2922336 is 6332292.

It is an interprime number because it is at equal distance from previous prime (2922331) and next prime (2922341).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2922331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20955 + ... + 21093.

It is an arithmetic number, because the mean of its divisors is an integer number (117845).

22922336 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 2922336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242420).

2922336 is an abundant number, since it is smaller than the sum of its proper divisors (5562504).

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

2922336 is a wasteful number, since it uses less digits than its factorization.

2922336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 2922336 is about 1709.4841327137. The cubic root of 2922336 is about 142.9694948541.

It can be divided in two parts, 292 and 2336, that added together give a triangular number (2628 = T72).

The spelling of 2922336 in words is "two million, nine hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 139 144 146 219 278 288 292 417 438 556 584 657 834 876 1112 1168 1251 1314 1668 1752 2224 2336 2502 2628 3336 3504 4448 5004 5256 6672 7008 10008 10147 10512 13344 20016 20294 21024 30441 40032 40588 60882 81176 91323 121764 162352 182646 243528 324704 365292 487056 730584 974112 1461168 2922336