Search a number
-
+
22132350 = 23252137359
BaseRepresentation
bin101010001101…
…1011001111110
31112122102212200
41110123121332
521131213400
62110212330
7356056542
oct124333176
945572780
1022132350
11115473a9
1274b40a6
13477bb86
142d21a22
151e22b00
hex151b67e

22132350 has 72 divisors (see below), whose sum is σ = 60063120. Its totient is φ = 5842560.

The previous prime is 22132339. The next prime is 22132367. The reversal of 22132350 is 5323122.

22132350 = T156 + T157 + ... + T514.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61471 + ... + 61829.

It is an arithmetic number, because the mean of its divisors is an integer number (834210).

Almost surely, 222132350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30031560).

22132350 is an abundant number, since it is smaller than the sum of its proper divisors (37930770).

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

22132350 is a wasteful number, since it uses less digits than its factorization.

22132350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22132350 is about 4704.5031618652. The cubic root of 22132350 is about 280.7647038451.

Adding to 22132350 its reverse (5323122), we get a palindrome (27455472).

The spelling of 22132350 in words is "twenty-two million, one hundred thirty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 137 150 225 274 359 411 450 685 718 822 1077 1233 1370 1795 2055 2154 2466 3231 3425 3590 4110 5385 6165 6462 6850 8975 10275 10770 12330 16155 17950 20550 26925 30825 32310 49183 53850 61650 80775 98366 147549 161550 245915 295098 442647 491830 737745 885294 1229575 1475490 2213235 2459150 3688725 4426470 7377450 11066175 22132350