Search a number
-
+
202222002001212 = 223212744230534121
BaseRepresentation
bin101101111110101101111010…
…100110000101010100111100
3222112000020100000102001122200
4231332231322212011110330
5203001201130003014322
61554031301043511500
760411025503561654
oct5576557246052474
9875006300361580
10202222002001212
1159485962238506
121a81bb8b388590
1388ab5b721523b
1437d18506d7364
15185a3d1db78ac
hexb7eb7a98553c

202222002001212 has 36 divisors (see below), whose sum is σ = 515197261453056. Its totient is φ = 66876567589440.

The previous prime is 202222002001211. The next prime is 202222002001231. The reversal of 202222002001212 is 212100200222202.

202222002001212 is a `hidden beast` number, since 20 + 222 + 200 + 200 + 1 + 21 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2022220020012123 (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202222002001211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22115262489 + ... + 22115271632.

Almost surely, 2202222002001212 is an apocalyptic number.

It is an amenable number.

202222002001212 is an abundant number, since it is smaller than the sum of its proper divisors (312975259451844).

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

202222002001212 is a wasteful number, since it uses less digits than its factorization.

202222002001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44230534258 (or 44230534253 counting only the distinct ones).

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

Adding to 202222002001212 its reverse (212100200222202), we get a palindrome (414322202223414).

The spelling of 202222002001212 in words is "two hundred two trillion, two hundred twenty-two billion, two million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 44230534121 88461068242 132691602363 176922136484 265383204726 398074807089 530766409452 796149614178 1592299228356 5617277833367 11234555666734 16851833500101 22469111333468 33703667000202 50555500500303 67407334000404 101111001000606 202222002001212