Search a number
-
+
222000000312 = 233149101960923
BaseRepresentation
bin1100111011000000111…
…0110010110100111000
3210020000120011111101210
43032300032302310320
512114124000002222
6245552502243120
722016236603416
oct3166016626470
9706016144353
10222000000312
1186171238042
12370374264a0
1317c1c17133c
14aa5dc622b6
155b94aa2d0c
hex33b03b2d38

222000000312 has 64 divisors (see below), whose sum is σ = 559282320000. Its totient is φ = 73430017664.

The previous prime is 222000000301. The next prime is 222000000319. The reversal of 222000000312 is 213000000222.

222000000312 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222000000319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3613483 + ... + 3674405.

It is an arithmetic number, because the mean of its divisors is an integer number (8738786250).

Almost surely, 2222000000312 is an apocalyptic number.

It is an amenable number.

222000000312 is an abundant number, since it is smaller than the sum of its proper divisors (337282319688).

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

222000000312 is a wasteful number, since it uses less digits than its factorization.

222000000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62100 (or 62096 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 222000000312 its reverse (213000000222), we get a palindrome (435000000534).

The spelling of 222000000312 in words is "two hundred twenty-two billion, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 149 298 447 596 894 1019 1192 1788 2038 3057 3576 4076 6114 8152 12228 24456 60923 121846 151831 182769 243692 303662 365538 455493 487384 607324 731076 910986 1214648 1462152 1821972 3643944 9077527 18155054 27232581 36310108 54465162 62080537 72620216 108930324 124161074 186241611 217860648 248322148 372483222 496644296 744966444 1489932888 9250000013 18500000026 27750000039 37000000052 55500000078 74000000104 111000000156 222000000312