Search a number
-
+
2222404000002 = 232123466888889
BaseRepresentation
bin100000010101110001100…
…110011101100100000010
321212110102011012122202100
4200111301212131210002
5242402440411000002
64420542554331230
7316364146212234
oct40256146354402
97773364178670
102222404000002
1178757513586a
122ba872729b16
13131758317684
14797ca238254
153cc2328411c
hex2057199d902

2222404000002 has 12 divisors (see below), whose sum is σ = 4815208666710. Its totient is φ = 740801333328.

The previous prime is 2222403999989. The next prime is 2222404000043. The reversal of 2222404000002 is 2000004042222.

2222404000002 is a `hidden beast` number, since 2 + 22 + 240 + 400 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1900700638281 + 321703361721 = 1378659^2 + 567189^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 123466888889 = 2222404000002 / (2 + 2 + 2 + 2 + 4 + 0 + 4 + 0 + 0 + 0 + 0 + 0 + 2).

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 5 ways as a sum of consecutive naturals, for example, 61733444427 + ... + 61733444462.

Almost surely, 22222404000002 is an apocalyptic number.

2222404000002 is an abundant number, since it is smaller than the sum of its proper divisors (2592804666708).

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

2222404000002 is a wasteful number, since it uses less digits than its factorization.

2222404000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123466888897 (or 123466888894 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2222404000002 its reverse (2000004042222), we get a palindrome (4222408042224).

The spelling of 2222404000002 in words is "two trillion, two hundred twenty-two billion, four hundred four million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 123466888889 246933777778 370400666667 740801333334 1111202000001 2222404000002