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2156622048 = 253272346511
BaseRepresentation
bin1000000010001011…
…0111000011100000
312120022001202021200
42000202313003200
513404043401143
6553555521200
7104304661560
oct20042670340
95508052250
102156622048
11a073a2079
125022b9200
13284a54429
141665c8da0
15c94ee1d3
hex808b70e0

2156622048 has 144 divisors (see below), whose sum is σ = 7313918976. Its totient is φ = 589374720.

The previous prime is 2156622047. The next prime is 2156622107. The reversal of 2156622048 is 8402266512.

It is a happy number.

2156622048 is a `hidden beast` number, since 21 + 5 + 6 + 622 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156622047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23113 + ... + 69623.

It is an arithmetic number, because the mean of its divisors is an integer number (50791104).

Almost surely, 22156622048 is an apocalyptic number.

2156622048 is a gapful number since it is divisible by the number (28) 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 2156622048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656959488).

2156622048 is an abundant number, since it is smaller than the sum of its proper divisors (5157296928).

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

2156622048 is a wasteful number, since it uses less digits than its factorization.

2156622048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46557 (or 46546 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2156622048 is about 46439.4449579234. Note that the first 3 decimals coincide. The cubic root of 2156622048 is about 1291.9866127238.

The spelling of 2156622048 in words is "two billion, one hundred fifty-six million, six hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 46511 93022 139533 186044 279066 325577 372088 418599 558132 651154 744176 837198 976731 1069753 1116264 1302308 1488352 1674396 1953462 2139506 2232528 2604616 2930193 3209259 3348792 3906924 4279012 4465056 5209232 5860386 6418518 6697584 7488271 7813848 8558024 9627777 10418464 11720772 12837036 13395168 14976542 15627696 17116048 19255554 22464813 23441544 25674072 29953084 31255392 34232096 38511108 44929626 46883088 51348144 59906168 67394439 77022216 89859252 93766176 102696288 119812336 134788878 154044432 179718504 239624672 269577756 308088864 359437008 539155512 718874016 1078311024 2156622048