Search a number
-
+
22222312224 = 2537223205397
BaseRepresentation
bin10100101100100011…
…011001001100100000
32010100201012102111220
4110230203121030200
5331002402442344
614113033135040
71414455352200
oct245443311440
963321172456
1022222312224
119473a090a2
12438225a480
132131c1bc98
14110b4d0400
158a0de3c19
hex52c8d9320

22222312224 has 144 divisors (see below), whose sum is σ = 70808084928. Its totient is φ = 6073148928.

The previous prime is 22222312213. The next prime is 22222312243. The reversal of 22222312224 is 42221322222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22222312194 and 22222312203.

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, 5494 + ... + 210890.

It is an arithmetic number, because the mean of its divisors is an integer number (491722812).

Almost surely, 222222312224 is an apocalyptic number.

22222312224 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 22222312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35404042464).

22222312224 is an abundant number, since it is smaller than the sum of its proper divisors (48585772704).

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

22222312224 is a wasteful number, since it uses less digits than its factorization.

22222312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205447 (or 205432 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

Adding to 22222312224 its reverse (42221322222), we get a palindrome (64443634446).

The spelling of 22222312224 in words is "twenty-two billion, two hundred twenty-two million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 36064 54096 108192 205397 410794 616191 821588 1232382 1437779 1643176 2464764 2875558 3286352 4313337 4724131 4929528 5751116 6572704 8626674 9448262 9859056 10064453 11502232 14172393 17253348 18896524 19718112 20128906 23004464 28344786 30193359 33068917 34506696 37793048 40257812 46008928 56689572 60386718 66137834 69013392 75586096 80515624 99206751 113379144 120773436 132275668 138026784 151172192 161031248 198413502 226758288 231482419 241546872 264551336 322062496 396827004 453516576 462964838 483093744 529102672 694447257 793654008 925929676 966187488 1058205344 1388894514 1587308016 1851859352 2777789028 3174616032 3703718704 5555578056 7407437408 11111156112 22222312224