Search a number
-
+
22402024420200 = 2335260116211397
BaseRepresentation
bin1010001011111111000001…
…01101010011001101101000
32221022121112121011221001120
411011333200231103031220
510414013321222421300
6115351203053415240
74501331022511455
oct505774055231550
987277477157046
1022402024420200
117157710847067
1226197b479a520
13c6666a700ac9
14576399ac482c
1528cadc3453a0
hex145fe0b53368

22402024420200 has 96 divisors (see below), whose sum is σ = 69457840083360. Its totient is φ = 5972878393600.

The previous prime is 22402024420183. The next prime is 22402024420249. The reversal of 22402024420200 is 202442020422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500902 + ... + 6712298.

It is an arithmetic number, because the mean of its divisors is an integer number (723519167535).

Almost surely, 222402024420200 is an apocalyptic number.

22402024420200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22402024420200 is an abundant number, since it is smaller than the sum of its proper divisors (47055815663160).

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

22402024420200 is a wasteful number, since it uses less digits than its factorization.

22402024420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217427 (or 6217418 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22402024420200 its reverse (202442020422), we get a palindrome (22604466440622).

The spelling of 22402024420200 in words is "twenty-two trillion, four hundred two billion, twenty-four million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6011 12022 18033 24044 30055 36066 48088 60110 72132 90165 120220 144264 150275 180330 240440 300550 360660 450825 601100 721320 901650 1202200 1803300 3606600 6211397 12422794 18634191 24845588 31056985 37268382 49691176 62113970 74536764 93170955 124227940 149073528 155284925 186341910 248455880 310569850 372683820 465854775 621139700 745367640 931709550 1242279400 1863419100 3726838200 37336707367 74673414734 112010122101 149346829468 186683536835 224020244202 298693658936 373367073670 448040488404 560050610505 746734147340 896080976808 933417684175 1120101221010 1493468294680 1866835368350 2240202442020 2800253052525 3733670736700 4480404884040 5600506105050 7467341473400 11201012210100 22402024420200