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42204112200 = 233252231019423
BaseRepresentation
bin100111010011100011…
…111010010101001000
311000221021111001000200
4213103203322111020
51142413223042300
631215512332200
73022600014615
oct472343722510
9130837431020
1042204112200
1116998137178
12821a0a4060
133c978c3873
1420851d950c
151170267200
hex9d38fa548

42204112200 has 144 divisors (see below), whose sum is σ = 147898033920. Its totient is φ = 10765096320.

The previous prime is 42204112189. The next prime is 42204112259. The reversal of 42204112200 is 221140224.

42204112200 is a `hidden beast` number, since 422 + 0 + 41 + 1 + 2 + 200 = 666.

42204112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 468312 + ... + 551111.

It is an arithmetic number, because the mean of its divisors is an integer number (1027069680).

Almost surely, 242204112200 is an apocalyptic number.

42204112200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42204112200 is an abundant number, since it is smaller than the sum of its proper divisors (105693921720).

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

42204112200 is a wasteful number, since it uses less digits than its factorization.

42204112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019468 (or 1019456 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42204112200 its reverse (221140224), we get a palindrome (42425252424).

The spelling of 42204112200 in words is "forty-two billion, two hundred four million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 1019423 2038846 3058269 4077692 5097115 6116538 8155384 9174807 10194230 12233076 15291345 18349614 20388460 23446729 24466152 25485575 30582690 36699228 40776920 45874035 46893458 50971150 61165380 70340187 73398456 76456725 91748070 93786916 101942300 117233645 122330760 140680374 152913450 183496140 187573832 203884600 211020561 229370175 234467290 281360748 305826900 351700935 366992280 422041122 458740350 468934580 562721496 586168225 611653800 703401870 844082244 917480700 937869160 1055102805 1172336450 1406803740 1688164488 1758504675 1834961400 2110205610 2344672900 2813607480 3517009350 4220411220 4689345800 5275514025 7034018700 8440822440 10551028050 14068037400 21102056100 42204112200