Search a number
-
+
153218020 = 22529264169
BaseRepresentation
bin10010010000111…
…10101111100100
3101200022021121111
421020132233210
5303210434040
623111554404
73540221524
oct1110365744
9350267544
10153218020
117953aa6a
124338ba04
1325987867
14164c5684
15d6b7dea
hex921ebe4

153218020 has 24 divisors (see below), whose sum is σ = 332854200. Its totient is φ = 59173632.

The previous prime is 153218017. The next prime is 153218029. The reversal of 153218020 is 20812351.

153218020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54493924 + 98724096 = 7382^2 + 9936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153217982 and 153218000.

It is not an unprimeable number, because it can be changed into a prime (153218029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131505 + ... + 132664.

It is an arithmetic number, because the mean of its divisors is an integer number (13868925).

Almost surely, 2153218020 is an apocalyptic number.

153218020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153218020 is an abundant number, since it is smaller than the sum of its proper divisors (179636180).

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

153218020 is a wasteful number, since it uses less digits than its factorization.

153218020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264207 (or 264205 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 153218020 is about 12378.1266757131. The cubic root of 153218020 is about 535.1020505825.

The spelling of 153218020 in words is "one hundred fifty-three million, two hundred eighteen thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 264169 528338 1056676 1320845 2641690 5283380 7660901 15321802 30643604 38304505 76609010 153218020