Search a number
-
+
22122110021200 = 245278510992831
BaseRepresentation
bin1010000011110101101001…
…00000100110111001010000
32220022212000212212011001121
411001322310200212321100
510344422040131134300
6115014431304412024
74442161336414450
oct501726440467120
986285025764047
1022122110021200
117059a30426112
1225934b5a77014
13c4614bc1b707
14566a0438bd60
152856a81b081a
hex141eb4826e50

22122110021200 has 120 divisors (see below), whose sum is σ = 60742361525760. Its totient is φ = 7584552614400.

The previous prime is 22122110021183. The next prime is 22122110021233. The reversal of 22122110021200 is 212001122122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238258785 + ... + 238351615.

It is an arithmetic number, because the mean of its divisors is an integer number (506186346048).

Almost surely, 222122110021200 is an apocalyptic number.

22122110021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122110021200 is an abundant number, since it is smaller than the sum of its proper divisors (38620251504560).

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

22122110021200 is a wasteful number, since it uses less digits than its factorization.

22122110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177965 (or 177954 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22122110021200 its reverse (212001122122), we get a palindrome (22334111143322).

The spelling of 22122110021200 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred ten million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 85109 92831 170218 185662 340436 371324 425545 464155 595763 649817 680872 742648 851090 928310 1191526 1299634 1361744 1485296 1702180 1856620 2127725 2320775 2383052 2599268 2978815 3249085 3404360 3713240 4255450 4641550 4766104 5198536 5957630 6498170 6808720 7426480 8510900 9283100 9532208 10397072 11915260 12996340 14894075 16245425 17021800 18566200 23830520 25992680 29788150 32490850 34043600 37132400 47661040 51985360 59576300 64981700 119152600 129963400 238305200 259926800 7900753579 15801507158 31603014316 39503767895 55305275053 63206028632 79007535790 110610550106 126412057264 158015071580 197518839475 221221100212 276526375265 316030143160 395037678950 442442200424 553052750530 632060286320 790075357900 884884400848 1106105501060 1382631876325 1580150715800 2212211002120 2765263752650 3160301431600 4424422004240 5530527505300 11061055010600 22122110021200