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22132203300 = 22325245135449
BaseRepresentation
bin10100100111001011…
…101001111100100100
32010010102122102022100
4110213023221330210
5330311321001200
614100053532100
71412312424024
oct244713517444
963112572270
1022132203300
119428062a09
124358044030
13211935c5ac
1410dd555a84
15898044d00
hex5272e9f24

22132203300 has 108 divisors (see below), whose sum is σ = 69400267300. Its totient is φ = 5899530240.

The previous prime is 22132203263. The next prime is 22132203319. The reversal of 22132203300 is 330223122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10353876516 + 11778326784 = 101754^2 + 108528^2 .

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 35 ways as a sum of consecutive naturals, for example, 4058976 + ... + 4064424.

Almost surely, 222132203300 is an apocalyptic number.

22132203300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132203300 is an abundant number, since it is smaller than the sum of its proper divisors (47268064000).

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

22132203300 is a wasteful number, since it uses less digits than its factorization.

22132203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22132203300 its reverse (330223122), we get a palindrome (22462426422).

The spelling of 22132203300 in words is "twenty-two billion, one hundred thirty-two million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4513 5449 9026 10898 13539 16347 18052 21796 22565 27078 27245 32694 40617 45130 49041 54156 54490 65388 67695 81234 81735 90260 98082 108980 112825 135390 136225 162468 163470 196164 203085 225650 245205 270780 272450 326940 338475 406170 408675 451300 490410 544900 676950 812340 817350 980820 1015425 1226025 1353900 1634700 2030850 2452050 4061700 4904100 24591337 49182674 73774011 98365348 122956685 147548022 221322033 245913370 295096044 368870055 442644066 491826740 614783425 737740110 885288132 1106610165 1229566850 1475480220 1844350275 2213220330 2459133700 3688700550 4426440660 5533050825 7377401100 11066101650 22132203300