Search a number
-
+
23555222255532 = 22311101232215431
BaseRepresentation
bin1010101101100011000001…
…01001111011011110101100
310002101212010221100201210210
411112301200221323132230
511041412043344134112
6122033041505302420
74650544236415032
oct526614051733654
9102355127321723
1023555222255532
117561793975120
1227851b0334a10
13101b32b90a246
145b61164a2552
152acad32acb3c
hex156c60a7b7ac

23555222255532 has 144 divisors (see below), whose sum is σ = 60588231282432. Its totient is φ = 7063778400000.

The previous prime is 23555222255519. The next prime is 23555222255581.

It is a happy number.

23555222255532 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4337176857 + ... + 4337182287.

It is an arithmetic number, because the mean of its divisors is an integer number (420751606128).

Almost surely, 223555222255532 is an apocalyptic number.

23555222255532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23555222255532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30294115641216).

23555222255532 is an abundant number, since it is smaller than the sum of its proper divisors (37033009026900).

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

23555222255532 is a wasteful number, since it uses less digits than its factorization.

23555222255532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8769 counting only the distinct ones).

The product of its digits is 9000000, while the sum is 48.

The spelling of 23555222255532 in words is "twenty-three trillion, five hundred fifty-five billion, two hundred twenty-two million, two hundred fifty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3221 3333 4444 5431 6442 6666 9663 10201 10862 12884 13332 16293 19326 20402 21724 30603 32586 35431 38652 40804 59741 61206 65172 70862 106293 112211 119482 122412 141724 179223 212586 224422 238964 325321 336633 358446 425172 448844 548531 650642 673266 716892 975963 1097062 1301284 1346532 1645593 1951926 2194124 3291186 3578531 3903852 6033841 6582372 7157062 10735593 12067682 14314124 17493251 18101523 21471186 24135364 32857421 34986502 36203046 42942372 52479753 55401631 65714842 69973004 72406092 98572263 104959506 110803262 131429684 166204893 192425761 197144526 209919012 221606524 332409786 361431631 384851522 394289052 577277283 609417941 664819572 722863262 769703044 1084294893 1154554566 1218835882 1445726524 1766818351 1828253823 2168589786 2309109132 2437671764 3533636702 3656507646 4337179572 5300455053 7067273404 7313015292 10600910106 19435001861 21201820212 38870003722 58305005583 77740007444 116610011166 178448653451 233220022332 356897306902 535345960353 713794613804 1070691920706 1962935187961 2141383841412 3925870375922 5888805563883 7851740751844 11777611127766 23555222255532