Search a number
-
+
155224134 = 23313273233
BaseRepresentation
bin10010100000010…
…00100001000110
3101211002012111000
421100020201012
5304214133014
623222554130
73563245332
oct1120104106
9354065430
10155224134
117a69020a
1243b98946
132620aa00
14168887c2
15d962509
hex9408846

155224134 has 96 divisors (see below), whose sum is σ = 380259360. Its totient is φ = 46904832.

The previous prime is 155224133. The next prime is 155224141. The reversal of 155224134 is 431422551.

155224134 is a `hidden beast` number, since 1 + 5 + 522 + 4 + 134 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 155224098 and 155224107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155224133) 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, 666082 + ... + 666314.

It is an arithmetic number, because the mean of its divisors is an integer number (3961035).

Almost surely, 2155224134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155224134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190129680).

155224134 is an abundant number, since it is smaller than the sum of its proper divisors (225035226).

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

155224134 is a wasteful number, since it uses less digits than its factorization.

155224134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 155224134 is about 12458.8977843146. The cubic root of 155224134 is about 537.4273306480.

Adding to 155224134 its reverse (431422551), we get a palindrome (586646685).

The spelling of 155224134 in words is "one hundred fifty-five million, two hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 169 219 233 234 338 351 438 466 507 657 699 702 949 1014 1314 1398 1521 1898 1971 2097 2847 3029 3042 3942 4194 4563 5694 6058 6291 8541 9087 9126 12337 12582 17009 17082 18174 24674 25623 27261 34018 37011 39377 51027 51246 54522 74022 78754 81783 102054 111033 118131 153081 163566 221117 222066 236262 306162 333099 354393 442234 459243 663351 666198 708786 918486 1063179 1326702 1990053 2126358 2874521 3980106 5749042 5970159 8623563 11940318 17247126 25870689 51741378 77612067 155224134