Search a number
-
+
153344226 = 23721992621
BaseRepresentation
bin10010010001111…
…01100011100010
3101200112200201210
421020331203202
5303224003401
623114410550
73541255500
oct1110754342
9350480653
10153344226
1179616872
1243430a56
1325a00139
1416519670
15d6e04d6
hex923d8e2

153344226 has 48 divisors (see below), whose sum is σ = 358689600. Its totient is φ = 43575840.

The previous prime is 153344207. The next prime is 153344227. The reversal of 153344226 is 622443351.

It is a junction number, because it is equal to n+sod(n) for n = 153344193 and 153344202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153344227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57196 + ... + 59816.

It is an arithmetic number, because the mean of its divisors is an integer number (7472700).

Almost surely, 2153344226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153344226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179344800).

153344226 is an abundant number, since it is smaller than the sum of its proper divisors (205345374).

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

153344226 is a wasteful number, since it uses less digits than its factorization.

153344226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2832 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 153344226 is about 12383.2235706217. The cubic root of 153344226 is about 535.2489318164.

Adding to 153344226 its reverse (622443351), we get a palindrome (775787577).

The spelling of 153344226 in words is "one hundred fifty-three million, three hundred forty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 199 294 398 597 1194 1393 2621 2786 4179 5242 7863 8358 9751 15726 18347 19502 29253 36694 55041 58506 110082 128429 256858 385287 521579 770574 1043158 1564737 3129474 3651053 7302106 10953159 21906318 25557371 51114742 76672113 153344226