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2148363000 = 2336537421
BaseRepresentation
bin1000000000001101…
…0110101011111000
312112201112011000000
42000003112223320
513344440104000
6553102513000
7104144532660
oct20003265370
95481464000
102148363000
11a02770a13
124bb595760
13283122114
141654791a0
15c891c000
hex800d6af8

2148363000 has 448 divisors, whose sum is σ = 8634525120. Its totient is φ = 489888000.

The previous prime is 2148362989. The next prime is 2148363043. The reversal of 2148363000 is 3638412.

It is a happy number.

2148363000 is a `hidden beast` number, since 21 + 4 + 8 + 3 + 630 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5102790 + ... + 5103210.

Almost surely, 22148363000 is an apocalyptic number.

2148363000 is a gapful number since it is divisible by the number (20) 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 2148363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317262560).

2148363000 is an abundant number, since it is smaller than the sum of its proper divisors (6486162120).

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

2148363000 is an equidigital number, since it uses as much as digits as its factorization.

2148363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2148363000 is about 46350.4368911448. The cubic root of 2148363000 is about 1290.3352292645.

The spelling of 2148363000 in words is "two billion, one hundred forty-eight million, three hundred sixty-three thousand".