Search a number
-
+
10219398 = 2373147167
BaseRepresentation
bin100110111110…
…111110000110
3201020012101020
4212332332012
510104010043
61003012010
7152602110
oct46767606
921205336
1010219398
11584aa92
12350a006
13216a6a7
1415003b0
15d6ce83
hex9bef86

10219398 has 64 divisors (see below), whose sum is σ = 24772608. Its totient is φ = 2748960.

The previous prime is 10219379. The next prime is 10219399. The reversal of 10219398 is 89391201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10219399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61111 + ... + 61277.

It is an arithmetic number, because the mean of its divisors is an integer number (387072).

Almost surely, 210219398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10219398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386304).

10219398 is an abundant number, since it is smaller than the sum of its proper divisors (14553210).

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

10219398 is a wasteful number, since it uses less digits than its factorization.

10219398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 10219398 is about 3196.7793167499. The cubic root of 10219398 is about 217.0076802197.

The spelling of 10219398 in words is "ten million, two hundred nineteen thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 31 42 47 62 93 94 141 167 186 217 282 329 334 434 501 651 658 987 1002 1169 1302 1457 1974 2338 2914 3507 4371 5177 7014 7849 8742 10199 10354 15531 15698 20398 23547 30597 31062 36239 47094 54943 61194 72478 108717 109886 164829 217434 243319 329658 486638 729957 1459914 1703233 3406466 5109699 10219398