Search a number
-
+
13222080 = 263254591
BaseRepresentation
bin110010011100…
…000011000000
3220212202021200
4302130003000
511341101310
61151221200
7220246224
oct62340300
926782250
1013222080
117510a43
124517800
13297c321
141a82784
1512629c0
hexc9c0c0

13222080 has 84 divisors (see below), whose sum is σ = 45488352. Its totient is φ = 3525120.

The previous prime is 13222067. The next prime is 13222091. The reversal of 13222080 is 8022231.

It is a happy number.

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

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, 585 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (541528).

Almost surely, 213222080 is an apocalyptic number.

13222080 is a gapful number since it is divisible by the number (10) 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 13222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22744176).

13222080 is an abundant number, since it is smaller than the sum of its proper divisors (32266272).

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

13222080 is a wasteful number, since it uses less digits than its factorization.

13222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13222080 is about 3636.2178152580. The cubic root of 13222080 is about 236.4648503231.

The spelling of 13222080 in words is "thirteen million, two hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4591 9182 13773 18364 22955 27546 36728 41319 45910 55092 68865 73456 82638 91820 110184 137730 146912 165276 183640 206595 220368 275460 293824 330552 367280 413190 440736 550920 661104 734560 826380 881472 1101840 1322208 1469120 1652760 2203680 2644416 3305520 4407360 6611040 13222080