Search a number
-
+
155362220 = 225134911217
BaseRepresentation
bin10010100001010…
…10001110101100
3101211100012220022
421100222032230
5304233042340
623225541312
73564362036
oct1120521654
9354305808
10155362220
117a774a32
1244044838
1326258810
14168c2c56
15d98d3b5
hex942a3ac

155362220 has 48 divisors (see below), whose sum is σ = 352362528. Its totient is φ = 57200640.

The previous prime is 155362219. The next prime is 155362241. The reversal of 155362220 is 22263551.

155362220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 155362220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127052 + ... + 128268.

It is an arithmetic number, because the mean of its divisors is an integer number (7340886).

Almost surely, 2155362220 is an apocalyptic number.

155362220 is a gapful number since it is divisible by the number (10) 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 155362220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176181264).

155362220 is an abundant number, since it is smaller than the sum of its proper divisors (197000308).

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

155362220 is a wasteful number, since it uses less digits than its factorization.

155362220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 155362220 is about 12464.4382143761. The cubic root of 155362220 is about 537.5866469292.

The spelling of 155362220 in words is "one hundred fifty-five million, three hundred sixty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 491 982 1217 1964 2434 2455 4868 4910 6085 6383 9820 12170 12766 15821 24340 25532 31642 31915 63284 63830 79105 127660 158210 316420 597547 1195094 2390188 2987735 5975470 7768111 11950940 15536222 31072444 38840555 77681110 155362220