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2148215136 = 25329771629
BaseRepresentation
bin1000000000001011…
…0010100101100000
312112201020122011120
42000002302211200
513344420341021
6553055412240
7104143345614
oct20002624540
95481218146
102148215136
11a0267a911
124bb524080
1328309ca22
1416543b344
15c88dd2c6
hex800b2960

2148215136 has 48 divisors (see below), whose sum is σ = 5833522800. Its totient is φ = 691378688.

The previous prime is 2148215123. The next prime is 2148215189. The reversal of 2148215136 is 6315128412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21482151362 = 9229656541078996992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2148215097 and 2148215106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383031 + ... + 388598.

It is an arithmetic number, because the mean of its divisors is an integer number (121531725).

Almost surely, 22148215136 is an apocalyptic number.

It is an amenable number.

2148215136 is an abundant number, since it is smaller than the sum of its proper divisors (3685307664).

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

2148215136 is a wasteful number, since it uses less digits than its factorization.

2148215136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771671 (or 771663 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2148215136 is about 46348.8417978271. The cubic root of 2148215136 is about 1290.3056255606.

The spelling of 2148215136 in words is "two billion, one hundred forty-eight million, two hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 771629 1543258 2314887 3086516 4629774 6173032 9259548 12346064 18519096 22377241 24692128 37038192 44754482 67131723 74076384 89508964 134263446 179017928 268526892 358035856 537053784 716071712 1074107568 2148215136