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2200420020400 = 245271495274257
BaseRepresentation
bin100000000001010011010…
…000001111000010110000
321210100200001110210010121
4200001103100033002300
5242022430011123100
64402505313340024
7314655313366240
oct40012320170260
97710601423117
102200420020400
11779213811588
122b6558267614
1312c6638b4614
1478702667b20
153c38826c51a
hex2005340f0b0

2200420020400 has 120 divisors (see below), whose sum is σ = 6082274325600. Its totient is φ = 749366292480.

The previous prime is 2200420020367. The next prime is 2200420020427. The reversal of 2200420020400 is 40200240022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219929 + ... + 3054328.

It is an arithmetic number, because the mean of its divisors is an integer number (50685619380).

Almost surely, 22200420020400 is an apocalyptic number.

2200420020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200420020400 is an abundant number, since it is smaller than the sum of its proper divisors (3881854305200).

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

2200420020400 is a wasteful number, since it uses less digits than its factorization.

2200420020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274431 (or 5274420 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2200420020400 its reverse (40200240022), we get a palindrome (2240620260422).

The spelling of 2200420020400 in words is "two trillion, two hundred billion, four hundred twenty million, twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 149 175 200 280 298 350 400 560 596 700 745 1043 1192 1400 1490 2086 2384 2800 2980 3725 4172 5215 5960 7450 8344 10430 11920 14900 16688 20860 26075 29800 41720 52150 59600 83440 104300 208600 417200 5274257 10548514 21097028 26371285 36919799 42194056 52742570 73839598 84388112 105485140 131856425 147679196 184598995 210970280 263712850 295358392 369197990 421940560 527425700 590716784 738395980 785864293 922994975 1054851400 1476791960 1571728586 1845989950 2109702800 2953583920 3143457172 3691979900 3929321465 5501050051 6286914344 7383959800 7858642930 11002100102 12573828688 14767919600 15717285860 19646607325 22004200204 27505250255 31434571720 39293214650 44008400408 55010500510 62869143440 78586429300 88016800816 110021001020 137526251275 157172858600 220042002040 275052502550 314345717200 440084004080 550105005100 1100210010200 2200420020400