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2251053344 = 25314748281
BaseRepresentation
bin1000011000101100…
…0101100100100000
312210212202100200002
42012023011210200
514102232201334
61011211515132
7106532431511
oct20613054440
95725670602
102251053344
11a5572a771
12529a58aa8
1329b498337
14174d6aa08
15d2953b7e
hex862c5920

2251053344 has 48 divisors (see below), whose sum is σ = 4672152576. Its totient is φ = 1066022400.

The previous prime is 2251053307. The next prime is 2251053353. The reversal of 2251053344 is 4433501522.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22484 + ... + 70764.

It is an arithmetic number, because the mean of its divisors is an integer number (97336512).

Almost surely, 22251053344 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 2251053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336076288).

2251053344 is an abundant number, since it is smaller than the sum of its proper divisors (2421099232).

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

2251053344 is a wasteful number, since it uses less digits than its factorization.

2251053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48369 (or 48361 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2251053344 is about 47445.2668239942. The cubic root of 2251053344 is about 1310.5751498118.

Adding to 2251053344 its reverse (4433501522), we get a palindrome (6684554866).

The spelling of 2251053344 in words is "two billion, two hundred fifty-one million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 47 62 94 124 188 248 376 496 752 992 1457 1504 2914 5828 11656 23312 46624 48281 96562 193124 386248 772496 1496711 1544992 2269207 2993422 4538414 5986844 9076828 11973688 18153656 23947376 36307312 47894752 70345417 72614624 140690834 281381668 562763336 1125526672 2251053344