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2249794624 = 2674114
BaseRepresentation
bin1000011000011001…
…0010010001000000
312210210101102000211
42012012102101000
514101421411444
61011124523504
7106515640000
oct20606222100
95723342024
102249794624
11a54a50000
12529550594
1329b14742c
14174b20000
15d27a5c34
hex86192440

2249794624 has 175 divisors, whose sum is σ = 5728983335. Its totient is φ = 876543360.

The previous prime is 2249794621. The next prime is 2249794649. The reversal of 2249794624 is 4264979422.

The square root of 2249794624 is 47432.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=154.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (1741824) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (2249794621) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 204526779 + ... + 204526789.

Almost surely, 22249794624 is an apocalyptic number.

2249794624 is the 47432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249794624

2249794624 is an abundant number, since it is smaller than the sum of its proper divisors (3479188711).

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

2249794624 is an frugal number, since it uses more digits than its factorization.

2249794624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 20 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The cubic root of 2249794624 is about 1310.3308264554.

Multiplying 2249794624 by its sum of digits (49), we get a square (110239936576 = 3320242).

2249794624 divided by its sum of digits (49) gives a square (45914176 = 67762).

The spelling of 2249794624 in words is "two billion, two hundred forty-nine million, seven hundred ninety-four thousand, six hundred twenty-four".