Search a number
-
+
23222233222232 = 2311641411683329
BaseRepresentation
bin1010100011110110110001…
…11101100100110001011000
310001020000122100202011211112
411101323120331210301120
511020433113201102412
6121220051402515452
74614515405344622
oct521733075446130
9101200570664745
1023222233222232
117443548284940
12273075ab05b88
13cc5b023a18b5
145a3d67d65c12
152a40e489a722
hex151ed8f64c58

23222233222232 has 32 divisors (see below), whose sum is σ = 47574125614800. Its totient is φ = 10539093196800.

The previous prime is 23222233222231. The next prime is 23222233222241.

23222233222232 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222233222231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205785257 + ... + 205898072.

Almost surely, 223222233222232 is an apocalyptic number.

23222233222232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23222233222232 is an abundant number, since it is smaller than the sum of its proper divisors (24351892392568).

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

23222233222232 is a wasteful number, since it uses less digits than its factorization.

23222233222232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411683987 (or 411683983 counting only the distinct ones).

The product of its digits is 82944, while the sum is 32.

It can be divided in two parts, 2322223 and 3222232, that added together give a palindrome (5544455).

The spelling of 23222233222232 in words is "twenty-three trillion, two hundred twenty-two billion, two hundred thirty-three million, two hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 641 1282 2564 5128 7051 14102 28204 56408 411683329 823366658 1646733316 3293466632 4528516619 9057033238 18114066476 36228132952 263889013889 527778027778 1055556055556 2111112111112 2902779152779 5805558305558 11611116611116 23222233222232