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540235552230 = 2325112109455123
BaseRepresentation
bin1111101110010001000…
…11000101010111100110
31220122102221111112122200
413313020203011113212
532322400300132410
61052103014435330
754013353266343
oct7671043052746
91818387445580
10540235552230
11199126981400
128884b962b46
133bc36c5484a
141c20cbc97ca
15e0bd1483c0
hex7dc88c55e6

540235552230 has 144 divisors (see below), whose sum is σ = 1558080604080. Its totient is φ = 129764384640.

The previous prime is 540235552217. The next prime is 540235552247. The reversal of 540235552230 is 32255532045.

540235552230 is a `hidden beast` number, since 5 + 40 + 2 + 35 + 552 + 2 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 959449 + ... + 1414571.

It is an arithmetic number, because the mean of its divisors is an integer number (10820004195).

Almost surely, 2540235552230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540235552230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779040302040).

540235552230 is an abundant number, since it is smaller than the sum of its proper divisors (1017845051850).

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

540235552230 is a wasteful number, since it uses less digits than its factorization.

540235552230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455267 (or 455253 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 540235552230 in words is "five hundred forty billion, two hundred thirty-five million, five hundred fifty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 109 110 121 165 198 218 242 327 330 363 495 545 605 654 726 981 990 1089 1090 1199 1210 1635 1815 1962 2178 2398 3270 3597 3630 4905 5445 5995 7194 9810 10791 10890 11990 13189 17985 21582 26378 35970 39567 53955 65945 79134 107910 118701 131890 197835 237402 395670 455123 593505 910246 1187010 1365369 2275615 2730738 4096107 4551230 5006353 6826845 8192214 10012706 13653690 15019059 20480535 25031765 30038118 40961070 45057177 49608407 50063530 55069883 75095295 90114354 99216814 110139766 148825221 150190590 165209649 225285885 248042035 275349415 297650442 330419298 446475663 450571770 495628947 496084070 545692477 550698830 744126105 826048245 892951326 991257894 1091384954 1488252210 1637077431 1652096490 2232378315 2478144735 2728462385 3274154862 4464756630 4911232293 4956289470 5456924770 6002617247 8185387155 9822464586 12005234494 16370774310 18007851741 24556161465 30013086235 36015703482 49112322930 54023555223 60026172470 90039258705 108047110446 180078517410 270117776115 540235552230