Search a number
-
+
2221350 = 235259251
BaseRepresentation
bin1000011110010100100110
311011212010020
420132110212
51032040400
6115340010
724611145
oct10362446
94155106
102221350
111287a2a
128b1606
135ca111
1441b75c
152dd2a0
hex21e526

2221350 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 580000.

The previous prime is 2221343. The next prime is 2221379. The reversal of 2221350 is 531222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8725 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22221350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2221350 is an abundant number, since it is smaller than the sum of its proper divisors (3403290).

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

2221350 is a wasteful number, since it uses less digits than its factorization.

2221350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2221350 is about 1490.4194040605. The cubic root of 2221350 is about 130.4785126320.

Adding to 2221350 its reverse (531222), we get a palindrome (2752572).

The spelling of 2221350 in words is "two million, two hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 251 295 354 502 590 753 885 1255 1475 1506 1770 2510 2950 3765 4425 6275 7530 8850 12550 14809 18825 29618 37650 44427 74045 88854 148090 222135 370225 444270 740450 1110675 2221350