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22132202240 = 28547367889
BaseRepresentation
bin10100100111001011…
…101001101100000000
32010010102122100212002
4110213023221230000
5330311320432430
614100053523132
71412312420651
oct244713515400
963112570762
1022132202240
119428062135
1243580434a8
13211935bc75
1410dd555528
15898044845
hex5272e9b00

22132202240 has 72 divisors (see below), whose sum is σ = 54141635520. Its totient is φ = 8664498176.

The previous prime is 22132202179. The next prime is 22132202263. The reversal of 22132202240 is 4220223122.

It is a super-2 number, since 2×221322022402 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123785 + ... + 244104.

It is an arithmetic number, because the mean of its divisors is an integer number (751967160).

Almost surely, 222132202240 is an apocalyptic number.

22132202240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132202240 is an abundant number, since it is smaller than the sum of its proper divisors (32009433280).

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

22132202240 is an equidigital number, since it uses as much as digits as its factorization.

22132202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367957 (or 367943 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22132202240 its reverse (4220223122), we get a palindrome (26352425362).

The spelling of 22132202240 in words is "twenty-two billion, one hundred thirty-two million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 470 640 752 940 1280 1504 1880 3008 3760 6016 7520 12032 15040 30080 60160 367889 735778 1471556 1839445 2943112 3678890 5886224 7357780 11772448 14715560 17290783 23544896 29431120 34581566 47089792 58862240 69163132 86453915 94179584 117724480 138326264 172907830 235448960 276652528 345815660 470897920 553305056 691631320 1106610112 1383262640 2213220224 2766525280 4426440448 5533050560 11066101120 22132202240