Search a number
-
+
148228416 = 2632797379
BaseRepresentation
bin10001101010111…
…00100101000000
3101022220210011100
420311130211000
5300421302131
622413014400
73446630550
oct1065344500
9338823140
10148228416
1176742226
1241784400
132492b72b
1415987160
15d02e7e6
hex8d5c940

148228416 has 168 divisors, whose sum is σ = 491865920. Its totient is φ = 41803776.

The previous prime is 148228397. The next prime is 148228417. The reversal of 148228416 is 614822841.

148228416 is a `hidden beast` number, since 14 + 8 + 228 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148228417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390915 + ... + 391293.

Almost surely, 2148228416 is an apocalyptic number.

148228416 is a gapful number since it is divisible by the number (16) 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 148228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245932960).

148228416 is an abundant number, since it is smaller than the sum of its proper divisors (343637504).

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

148228416 is a wasteful number, since it uses less digits than its factorization.

148228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 148228416 is about 12174.9092809762. The cubic root of 148228416 is about 529.2292296900.

The spelling of 148228416 in words is "one hundred forty-eight million, two hundred twenty-eight thousand, four hundred sixteen".