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2422404040200 = 2335229139218623
BaseRepresentation
bin100011010000000010100…
…010000100011000001000
322120120122111120101101120
4203100002202010120020
5304142040413241300
65052500445315240
7340004300414364
oct43200242043010
98516574511346
102422404040200
11854376a24191
1233158a265b20
1314757c64bc21
148536032a2a4
154302b7153a0
hex23402884608

2422404040200 has 96 divisors (see below), whose sum is σ = 7768399219200. Its totient is φ = 623699426560.

The previous prime is 2422404040187. The next prime is 2422404040201. The reversal of 2422404040200 is 20404042242.

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

It is not an unprimeable number, because it can be changed into a prime (2422404040201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69591912 + ... + 69626711.

It is an arithmetic number, because the mean of its divisors is an integer number (80920825200).

Almost surely, 22422404040200 is an apocalyptic number.

2422404040200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422404040200 is an abundant number, since it is smaller than the sum of its proper divisors (5345995179000).

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

2422404040200 is a wasteful number, since it uses less digits than its factorization.

2422404040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139218671 (or 139218662 counting only the distinct ones).

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

Adding to 2422404040200 its reverse (20404042242), we get a palindrome (2442808082442).

The spelling of 2422404040200 in words is "two trillion, four hundred twenty-two billion, four hundred four million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 139218623 278437246 417655869 556874492 696093115 835311738 1113748984 1392186230 1670623476 2088279345 2784372460 3341246952 3480465575 4037340067 4176558690 5568744920 6960931150 8074680134 8353117380 10441396725 12112020201 13921862300 16149360268 16706234760 20186700335 20882793450 24224040402 27843724600 32298720536 40373400670 41765586900 48448080804 60560101005 80746801340 83531173800 96896161608 100933501675 121120202010 161493602680 201867003350 242240404020 302800505025 403734006700 484480808040 605601010050 807468013400 1211202020100 2422404040200