Search a number
-
+
22100022012 = 2231841668501
BaseRepresentation
bin10100100101010000…
…111001001011111100
32010001012002102212210
4110211100321023330
5330230101201022
614052544100420
71411442042025
oct244520711374
963035072783
1022100022012
119410982702
124349304710
1321127a2803
1410d9179c4c
158952d9a0c
hex5254392fc

22100022012 has 12 divisors (see below), whose sum is σ = 51566718056. Its totient is φ = 7366674000.

The previous prime is 22100021959. The next prime is 22100022017. The reversal of 22100022012 is 21022000122.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1841668501 = 22100022012 / (2 + 2 + 1 + 0 + 0 + 0 + 2 + 2 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100022017) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 920834239 + ... + 920834262.

Almost surely, 222100022012 is an apocalyptic number.

It is an amenable number.

22100022012 is an abundant number, since it is smaller than the sum of its proper divisors (29466696044).

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

22100022012 is a wasteful number, since it uses less digits than its factorization.

22100022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841668508 (or 1841668506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22100022012 its reverse (21022000122), we get a palindrome (43122022134).

The spelling of 22100022012 in words is "twenty-two billion, one hundred million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 1841668501 3683337002 5525005503 7366674004 11050011006 22100022012