Search a number
-
+
215112222 = 232131914813
BaseRepresentation
bin11001101001001…
…01101000011110
3112222202211111100
430310211220132
5420032042342
633202333530
75221265223
oct1464455036
9488684440
10215112222
11100474aa6
126005a2a6
1335748a50
14207d794a
1513d41e4c
hexcd25a1e

215112222 has 48 divisors (see below), whose sum is σ = 504661248. Its totient is φ = 65828160.

The previous prime is 215112217. The next prime is 215112223. The reversal of 215112222 is 222211512.

215112222 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 215112195 and 215112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215112223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42288 + ... + 47100.

It is an arithmetic number, because the mean of its divisors is an integer number (10513776).

Almost surely, 2215112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252330624).

215112222 is an abundant number, since it is smaller than the sum of its proper divisors (289549026).

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

215112222 is a wasteful number, since it uses less digits than its factorization.

215112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5022 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 215112222 is about 14666.7045378299. The cubic root of 215112222 is about 599.1768545691.

Adding to 215112222 its reverse (222211512), we get a palindrome (437323734).

The spelling of 215112222 in words is "two hundred fifteen million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 234 382 573 1146 1719 2483 3438 4813 4966 7449 9626 14439 14898 22347 28878 43317 44694 62569 86634 125138 187707 375414 563121 919283 1126242 1838566 2757849 5515698 8273547 11950679 16547094 23901358 35852037 71704074 107556111 215112222