Search a number
-
+
221415132 = 223195373251
BaseRepresentation
bin11010011001010…
…00011011011100
3120102122001110110
431030220123130
5423140241012
633545410020
75325666111
oct1514503334
9512561413
10221415132
11103a8a514
1262199910
1336b44893
1421598908
151468973c
hexd3286dc

221415132 has 96 divisors (see below), whose sum is σ = 563915520. Its totient is φ = 67392000.

The previous prime is 221415107. The next prime is 221415143. The reversal of 221415132 is 231514122.

221415132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221415099 and 221415108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882007 + ... + 882257.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2221415132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221415132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957760).

221415132 is an abundant number, since it is smaller than the sum of its proper divisors (342500388).

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

221415132 is a wasteful number, since it uses less digits than its factorization.

221415132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 221415132 is about 14880.0245967539. The cubic root of 221415132 is about 604.9726846033.

Adding to 221415132 its reverse (231514122), we get a palindrome (452929254).

The spelling of 221415132 in words is "two hundred twenty-one million, four hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 53 57 73 76 106 114 146 159 212 219 228 251 292 318 438 502 636 753 876 1004 1007 1387 1506 2014 2774 3012 3021 3869 4028 4161 4769 5548 6042 7738 8322 9538 11607 12084 13303 14307 15476 16644 18323 19076 23214 26606 28614 36646 39909 46428 53212 54969 57228 73292 73511 79818 109938 147022 159636 219876 220533 252757 294044 348137 441066 505514 696274 758271 882132 971119 1011028 1044411 1392548 1516542 1942238 2088822 2913357 3033084 3884476 4177644 5826714 11653428 18451261 36902522 55353783 73805044 110707566 221415132