Search a number
-
+
12215250 = 232536189
BaseRepresentation
bin101110100110…
…001111010010
3211222121011200
4232212033102
511111342000
61113452030
7205553655
oct56461722
924877150
1012215250
116993553
124111016
1326b8c78
14189d89c
151114500
hexba63d2

12215250 has 96 divisors (see below), whose sum is σ = 33948720. Its totient is φ = 3168000.

The previous prime is 12215237. The next prime is 12215257. The reversal of 12215250 is 5251221.

It can be written as a sum of positive squares in 8 ways, for example, as 986049 + 11229201 = 993^2 + 3351^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12215257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137206 + ... + 137294.

Almost surely, 212215250 is an apocalyptic number.

12215250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12215250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974360).

12215250 is an abundant number, since it is smaller than the sum of its proper divisors (21733470).

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

12215250 is a wasteful number, since it uses less digits than its factorization.

12215250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12215250 is about 3495.0321886930. The cubic root of 12215250 is about 230.3036317540.

Adding to 12215250 its reverse (5251221), we get a palindrome (17466471).

The spelling of 12215250 in words is "twelve million, two hundred fifteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 89 90 122 125 150 178 183 225 250 267 305 366 375 445 450 534 549 610 750 801 890 915 1098 1125 1335 1525 1602 1830 2225 2250 2670 2745 3050 4005 4450 4575 5429 5490 6675 7625 8010 9150 10858 11125 13350 13725 15250 16287 20025 22250 22875 27145 27450 32574 33375 40050 45750 48861 54290 66750 68625 81435 97722 100125 135725 137250 162870 200250 244305 271450 407175 488610 678625 814350 1221525 1357250 2035875 2443050 4071750 6107625 12215250