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2257209152 = 26113499187
BaseRepresentation
bin1000011010001010…
…0100011101000000
312211022100002211222
42012202210131000
514110321143102
61011551454212
7106635650462
oct20642443500
95738302758
102257209152
11a59154710
1252bb27368
1329c842223
14175ad0132
15d326caa2
hex868a4740

2257209152 has 56 divisors (see below), whose sum is σ = 4900879200. Its totient is φ = 1022952960.

The previous prime is 2257209137. The next prime is 2257209173. The reversal of 2257209152 is 2519027522.

It is a congruent 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, 241103 + ... + 250289.

It is an arithmetic number, because the mean of its divisors is an integer number (87515700).

Almost surely, 22257209152 is an apocalyptic number.

2257209152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450439600).

2257209152 is an abundant number, since it is smaller than the sum of its proper divisors (2643670048).

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

2257209152 is a wasteful number, since it uses less digits than its factorization.

2257209152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9559 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 2257209152 is about 47510.0952640594. The cubic root of 2257209152 is about 1311.7687104682.

The spelling of 2257209152 in words is "two billion, two hundred fifty-seven million, two hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 349 352 698 704 1396 2792 3839 5584 7678 9187 11168 15356 18374 22336 30712 36748 61424 73496 101057 122848 146992 202114 245696 293984 404228 587968 808456 1616912 3206263 3233824 6412526 6467648 12825052 25650104 35268893 51300208 70537786 102600416 141075572 205200832 282151144 564302288 1128604576 2257209152