Search a number
-
+
22331023220 = 22511792515119
BaseRepresentation
bin10100110011000010…
…000101111101110100
32010122021202111222002
4110303002011331310
5331213220220340
614131515154432
71420245364652
oct246302057564
963567674862
1022331023220
11951a30a2a0
1243b2745a18
13214b5c270c
14111bb0bdd2
158aa719715
hex533085f74

22331023220 has 96 divisors (see below), whose sum is σ = 52022476800. Its totient is φ = 7984080000.

The previous prime is 22331023213. The next prime is 22331023229. The reversal of 22331023220 is 2232013322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22331023192 and 22331023201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22331023229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4359821 + ... + 4364939.

It is an arithmetic number, because the mean of its divisors is an integer number (541900800).

Almost surely, 222331023220 is an apocalyptic number.

22331023220 is a gapful number since it is divisible by the number (20) 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 22331023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26011238400).

22331023220 is an abundant number, since it is smaller than the sum of its proper divisors (29691453580).

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

22331023220 is a wasteful number, since it uses less digits than its factorization.

22331023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22331023220 its reverse (2232013322), we get a palindrome (24563036542).

It can be divided in two parts, 2233102 and 3220, that added together give a palindrome (2236322).

The spelling of 22331023220 in words is "twenty-two billion, three hundred thirty-one million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 251 316 395 502 790 869 1004 1255 1580 1738 2510 2761 3476 4345 5020 5119 5522 8690 10238 11044 13805 17380 19829 20476 25595 27610 39658 51190 55220 56309 79316 99145 102380 112618 198290 218119 225236 281545 396580 404401 436238 563090 808802 872476 1090595 1126180 1284869 1617604 2022005 2181190 2569738 4044010 4362380 4448411 5139476 6424345 8088020 8896822 12848690 14133559 17793644 22242055 25697380 28267118 44484110 56534236 70667795 88968220 101504651 141335590 203009302 282671180 406018604 507523255 1015046510 1116551161 2030093020 2233102322 4466204644 5582755805 11165511610 22331023220