Search a number
-
+
231342420300224 = 2637733324740253
BaseRepresentation
bin110100100110011110011010…
…110010001001000111000000
31010100010010020000221210112012
4310212132122302021013000
5220310303234044101344
62140005123554352052
766504636560212202
oct6446363262110700
91110103200853465
10231342420300224
11677928511a1a52
1221b4386458b628
139c1165c12070c
14411b06634c772
151bb2b31eab29e
hexd2679ac891c0

231342420300224 has 112 divisors (see below), whose sum is σ = 477962259403008. Its totient is φ = 110997153128448.

The previous prime is 231342420300221. The next prime is 231342420300239. The reversal of 231342420300224 is 422003024243132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231342420300221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5747189282 + ... + 5747229534.

Almost surely, 2231342420300224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231342420300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238981129701504).

231342420300224 is an abundant number, since it is smaller than the sum of its proper divisors (246619839102784).

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

231342420300224 is a wasteful number, since it uses less digits than its factorization.

231342420300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73622 (or 73612 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 231342420300224 its reverse (422003024243132), we get a palindrome (653345444543356).

The spelling of 231342420300224 in words is "two hundred thirty-one trillion, three hundred forty-two billion, four hundred twenty million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 73 74 146 148 292 296 584 592 1168 1184 2336 2368 2701 4672 5402 10804 21608 33247 40253 43216 66494 80506 86432 132988 161012 172864 265976 322024 531952 644048 1063904 1230139 1288096 1489361 2127808 2427031 2460278 2576192 2938469 2978722 4854062 4920556 5876938 5957444 9708124 9841112 11753876 11914888 19416248 19682224 23507752 23829776 38832496 39364448 47015504 47659552 77664992 78728896 89800147 94031008 95319104 108723353 155329984 179600294 188062016 217446706 359200588 434893412 718401176 869786824 1338291491 1436802352 1739573648 2676582982 2873604704 3479147296 5353165964 5747209408 6958294592 10706331928 21412663856 42825327712 49516785167 85650655424 97695278843 99033570334 195390557686 198067140668 390781115372 396134281336 781562230744 792268562672 1563124461488 1584537125344 3126248922976 3169074250688 3614725317191 6252497845952 7229450634382 14458901268764 28917802537528 57835605075056 115671210150112 231342420300224