Search a number
-
+
217094148 = 223317235397
BaseRepresentation
bin11001111000010…
…01100000000100
3120010111112012000
430330021200010
5421034003043
633313025300
75244161355
oct1474114004
9503445160
10217094148
111015a9057
1260855230
1335c90b9b
1420b91d2c
15140d42d3
hexcf09804

217094148 has 192 divisors, whose sum is σ = 640120320. Its totient is φ = 63258624.

The previous prime is 217094113. The next prime is 217094149. The reversal of 217094148 is 841490712.

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

It is not an unprimeable number, because it can be changed into a prime (217094149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2238036 + ... + 2238132.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2217094148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217094148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

217094148 is an abundant number, since it is smaller than the sum of its proper divisors (423026172).

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

217094148 is a wasteful number, since it uses less digits than its factorization.

217094148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 217094148 is about 14734.1151074640. The cubic root of 217094148 is about 601.0113941784.

The spelling of 217094148 in words is "two hundred seventeen million, ninety-four thousand, one hundred forty-eight".