Search a number
-
+
23213222231232 = 2631129379003759
BaseRepresentation
bin1010100011100101111111…
…10111010111110011000000
310001012011101100222102000010
411101302333313113303000
511020311134342344412
6121212001310024520
74614046200236055
oct521627767276300
9101164340872003
1023213222231232
11743a743866a40
12272aa651a8140
13cc4cc7573967
145a37512cd02c
152a3c6874c33c
hex151cbfdd7cc0

23213222231232 has 112 divisors (see below), whose sum is σ = 69312207628800. Its totient is φ = 6791747343360.

The previous prime is 23213222231207. The next prime is 23213222231257.

It is a happy number.

23213222231232 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23213222231207) and next prime (23213222231257).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23213222231232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189440632 + ... + 189563127.

Almost surely, 223213222231232 is an apocalyptic number.

23213222231232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23213222231232 is an abundant number, since it is smaller than the sum of its proper divisors (46098985397568).

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

23213222231232 is a wasteful number, since it uses less digits than its factorization.

23213222231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379003814 (or 379003804 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2321322 and 2231232, that added together give a palindrome (4552554).

The spelling of 23213222231232 in words is "twenty-three trillion, two hundred thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3828 5104 5568 7656 10208 15312 20416 30624 61248 379003759 758007518 1137011277 1516015036 2274022554 3032030072 4169041349 4548045108 6064060144 8338082698 9096090216 10991109011 12128120288 12507124047 16676165396 18192180432 21982218022 24256240576 25014248094 32973327033 33352330792 36384360864 43964436044 50028496188 65946654066 66704661584 72768721728 87928872088 100056992376 120902199121 131893308132 133409323168 175857744176 200113984752 241804398242 263786616264 266818646336 351715488352 362706597363 400227969504 483608796484 527573232528 703430976704 725413194726 800455939008 967217592968 1055146465056 1450826389452 1934435185936 2110292930112 2901652778904 3868870371872 5803305557808 7737740743744 11606611115616 23213222231232