Search a number
-
+
149446224 = 24321636367
BaseRepresentation
bin10001110100001…
…01111001010000
3101102012122200100
420322011321100
5301224234344
622455052400
73463162164
oct1072057120
9342178610
10149446224
11773a4184
1242071100
1324c66b25
1415bc2ca4
15d1c0569
hex8e85e50

149446224 has 60 divisors (see below), whose sum is σ = 420873856. Its totient is φ = 49502016.

The previous prime is 149446211. The next prime is 149446237. The reversal of 149446224 is 422644941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149446211) and next prime (149446237).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20289 + ... + 26655.

Almost surely, 2149446224 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 149446224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210436928).

149446224 is an abundant number, since it is smaller than the sum of its proper divisors (271427632).

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

149446224 is a wasteful number, since it uses less digits than its factorization.

149446224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 6535 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 149446224 is about 12224.8199986748. The cubic root of 149446224 is about 530.6746173849.

The spelling of 149446224 in words is "one hundred forty-nine million, four hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2608 2934 3912 5868 6367 7824 11736 12734 19101 23472 25468 38202 50936 57303 76404 101872 114606 152808 229212 305616 458424 916848 1037821 2075642 3113463 4151284 6226926 8302568 9340389 12453852 16605136 18680778 24907704 37361556 49815408 74723112 149446224