Search a number
-
+
2148222960 = 2432513376203
BaseRepresentation
bin1000000000001011…
…0100011111110000
312112201021000220100
42000002310133300
513344421113320
6553055512400
7104143410462
oct20002643760
95481230810
102148222960
11a02685784
124bb528700
132830a3460
14165440132
15c88e0790
hex800b47f0

2148222960 has 240 divisors, whose sum is σ = 7980676704. Its totient is φ = 514418688.

The previous prime is 2148222941. The next prime is 2148222961. The reversal of 2148222960 is 692228412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21482229602 = 9229723771742323200, which contains 22 as substring.

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 (2148222961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343219 + ... + 349421.

Almost surely, 22148222960 is an apocalyptic number.

2148222960 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 2148222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990338352).

2148222960 is an abundant number, since it is smaller than the sum of its proper divisors (5832453744).

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

2148222960 is a wasteful number, since it uses less digits than its factorization.

2148222960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2148222960 is about 46348.9262011538. The cubic root of 2148222960 is about 1290.3071920299.

The spelling of 2148222960 in words is "two billion, one hundred forty-eight million, two hundred twenty-two thousand, nine hundred sixty".