Search a number
-
+
323222424240 = 243523107547241
BaseRepresentation
bin1001011010000011000…
…11101100101010110000
31010220021221000102000210
410231001203230222300
520243424420033430
6404253014144120
732231516163162
oct4550143545260
91126257012023
10323222424240
111150946a5351
1252786652040
1324630cc6a41
14119033ac932
15861b2a72b0
hex4b418ecab0

323222424240 has 160 divisors (see below), whose sum is σ = 1055327740416. Its totient is φ = 81674475520.

The previous prime is 323222424223. The next prime is 323222424251. The reversal of 323222424240 is 42424222323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 323222424198 and 323222424207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317020 + ... + 864260.

Almost surely, 2323222424240 is an apocalyptic number.

323222424240 is a gapful number since it is divisible by the number (30) 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 323222424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527663870208).

323222424240 is an abundant number, since it is smaller than the sum of its proper divisors (732105316176).

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

323222424240 is a wasteful number, since it uses less digits than its factorization.

323222424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547387 (or 547381 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 323222424240 its reverse (42424222323), we get a palindrome (365646646563).

The spelling of 323222424240 in words is "three hundred twenty-three billion, two hundred twenty-two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 107 115 120 138 184 214 230 240 276 321 345 368 428 460 535 552 642 690 856 920 1070 1104 1284 1380 1605 1712 1840 2140 2461 2568 2760 3210 4280 4922 5136 5520 6420 7383 8560 9844 12305 12840 14766 19688 24610 25680 29532 36915 39376 49220 59064 73830 98440 118128 147660 196880 295320 547241 590640 1094482 1641723 2188964 2736205 3283446 4377928 5472410 6566892 8208615 8755856 10944820 12586543 13133784 16417230 21889640 25173086 26267568 32834460 37759629 43779280 50346172 58554787 62932715 65668920 75519258 100692344 117109574 125865430 131337840 151038516 175664361 188798145 201384688 234219148 251730860 292773935 302077032 351328722 377596290 468438296 503461720 585547870 604154064 702657444 755192580 878321805 936876592 1006923440 1171095740 1346760101 1405314888 1510385160 1756643610 2342191480 2693520202 2810629776 3020770320 3513287220 4040280303 4684382960 5387040404 6733800505 7026574440 8080560606 10774080808 13467601010 14053148880 16161121212 20201401515 21548161616 26935202020 32322242424 40402803030 53870404040 64644484848 80805606060 107740808080 161611212120 323222424240