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2148399450 = 239523759
BaseRepresentation
bin1000000000001101…
…1111100101011010
312112201121000000000
42000003133211122
513344442240300
6553103353430
7104145044151
oct20003374532
95481530000
102148399450
11a0279633a
124bb5b2876
132831358a2
14165488598
15c8927c00
hex800df95a

2148399450 has 240 divisors, whose sum is σ = 6260268960. Its totient is φ = 547974720.

The previous prime is 2148399427. The next prime is 2148399481. The reversal of 2148399450 is 549938412.

2148399450 is a `hidden beast` number, since 214 + 8 + 399 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2148399396 and 2148399405.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36413521 + ... + 36413579.

It is an arithmetic number, because the mean of its divisors is an integer number (26084454).

Almost surely, 22148399450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148399450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130134480).

2148399450 is an abundant number, since it is smaller than the sum of its proper divisors (4111869510).

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

2148399450 is an frugal number, since it uses more digits than its factorization.

2148399450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2148399450 is about 46350.8300896543. The cubic root of 2148399450 is about 1290.3425266739.

The spelling of 2148399450 in words is "two billion, one hundred forty-eight million, three hundred ninety-nine thousand, four hundred fifty".