Search a number
-
+
22009464 = 2332437109
BaseRepresentation
bin101001111110…
…1011001111000
31112102012022100
41103331121320
521113300324
62103423400
7355035351
oct123753170
945365270
1022009464
1111473044
127454b60
134737c69
142cccd28
151deb4c9
hex14fd678

22009464 has 48 divisors (see below), whose sum is σ = 61003800. Its totient is φ = 7164864.

The previous prime is 22009457. The next prime is 22009483. The reversal of 22009464 is 46490022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459 + ... + 6650.

Almost surely, 222009464 is an apocalyptic number.

22009464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22009464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30501900).

22009464 is an abundant number, since it is smaller than the sum of its proper divisors (38994336).

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

22009464 is a wasteful number, since it uses less digits than its factorization.

22009464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22009464 is about 4691.4245171376. The cubic root of 22009464 is about 280.2441068512.

Adding to 22009464 its reverse (46490022), we get a palindrome (68499486).

It can be divided in two parts, 2200 and 9464, that added together give a square (11664 = 1082).

The spelling of 22009464 in words is "twenty-two million, nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 7109 14218 21327 28436 42654 56872 63981 85308 127962 170616 255924 305687 511848 611374 917061 1222748 1834122 2445496 2751183 3668244 5502366 7336488 11004732 22009464