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2248054000 = 24531124027
BaseRepresentation
bin1000010111111110…
…1001010011110000
312210200002222100021
42011333221103300
514101000212000
61011023333224
7106465100203
oct20577512360
95720088307
102248054000
11a53a71275
12528a51214
1329a98808a
141747c993a
15d256011a
hex85fe94f0

2248054000 has 40 divisors (see below), whose sum is σ = 5435799408. Its totient is φ = 899220800.

The previous prime is 2248053959. The next prime is 2248054009. The reversal of 2248054000 is 4508422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248054009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560014 + ... + 564013.

Almost surely, 22248054000 is an apocalyptic number.

2248054000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248054000 is an abundant number, since it is smaller than the sum of its proper divisors (3187745408).

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

2248054000 is a wasteful number, since it uses less digits than its factorization.

2248054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124050 (or 1124034 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2248054000 is about 47413.6478242288. The cubic root of 2248054000 is about 1309.9928131222.

The spelling of 2248054000 in words is "two billion, two hundred forty-eight million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1124027 2248054 4496108 5620135 8992216 11240270 17984432 22480540 28100675 44961080 56201350 89922160 112402700 140503375 224805400 281006750 449610800 562013500 1124027000 2248054000