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2148204744 = 233274262311
BaseRepresentation
bin1000000000001011…
…0000000011001000
312112201020002220200
42000002300003020
513344420022434
6553055252200
7104143303410
oct20002600310
95481202820
102148204744
11a02673024
124bb51a060
1328309808a
14165437640
15c88da199
hex800b00c8

2148204744 has 48 divisors (see below), whose sum is σ = 6649206720. Its totient is φ = 613772640.

The previous prime is 2148204743. The next prime is 2148204763. The reversal of 2148204744 is 4474028412.

It is a super-2 number, since 2×21482047442 = 9229567244288211072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2148204699 and 2148204708.

It is not an unprimeable number, because it can be changed into a prime (2148204743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130652 + ... + 2131659.

It is an arithmetic number, because the mean of its divisors is an integer number (138525140).

Almost surely, 22148204744 is an apocalyptic number.

2148204744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148204744 is an abundant number, since it is smaller than the sum of its proper divisors (4501001976).

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

2148204744 is a wasteful number, since it uses less digits than its factorization.

2148204744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262330 (or 4262323 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 2148204744 is about 46348.7296913303. The cubic root of 2148204744 is about 1290.3035449376.

The spelling of 2148204744 in words is "two billion, one hundred forty-eight million, two hundred four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4262311 8524622 12786933 17049244 25573866 29836177 34098488 38360799 51147732 59672354 76721598 89508531 102295464 119344708 153443196 179017062 238689416 268525593 306886392 358034124 537051186 716068248 1074102372 2148204744