Search a number
-
+
222004000400 = 24527136099011
BaseRepresentation
bin1100111011000001111…
…0000011011010010000
3210020000211200201111012
43032300132003122100
512114131011003100
6245553124110052
722016315603450
oct3166036033220
9706024621435
10222004000400
118617351a3a6
1237038835328
1317c1cc41c60
14aa605c3d60
155b950e3135
hex33b0783690

222004000400 has 120 divisors (see below), whose sum is σ = 656448859584. Its totient is φ = 70260595200.

The previous prime is 222004000369. The next prime is 222004000417. The reversal of 222004000400 is 4000400222.

It is a happy number.

It is a super-3 number, since 3×2220040004003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3013106 + ... + 3085905.

Almost surely, 2222004000400 is an apocalyptic number.

222004000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222004000400 is an abundant number, since it is smaller than the sum of its proper divisors (434444859184).

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

222004000400 is a wasteful number, since it uses less digits than its factorization.

222004000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099049 (or 6099038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 222004000400 its reverse (4000400222), we get a palindrome (226004400622).

The spelling of 222004000400 in words is "two hundred twenty-two billion, four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 6099011 12198022 24396044 30495055 42693077 48792088 60990110 79287143 85386154 97584176 121980220 152475275 158574286 170772308 213465385 243960440 304950550 317148572 341544616 396435715 426930770 487920880 555010001 609901100 634297144 683089232 792871430 853861540 1067326925 1110020002 1219802200 1268594288 1585742860 1707723080 1982178575 2134653850 2220040004 2439604400 2775050005 3171485720 3415446160 3964357150 4269307700 4440080008 5550100010 6342971440 7928714300 8538615400 8880160016 11100200020 13875250025 15857428600 17077230800 22200400040 27750500050 31714857200 44400800080 55501000100 111002000200 222004000400