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220423332330 = 232512727171161
BaseRepresentation
bin1100110101001001000…
…0010010000111101010
3210001221200101110112100
43031102100102013222
512102411333113310
6245132220554230
721632203260645
oct3152220220752
9701850343470
10220423332330
1185532252053
12368773b2976
1317a2a6174c6
14a9506c2a5c
155b01461ec0
hex33524121ea

220423332330 has 96 divisors (see below), whose sum is σ = 579752828928. Its totient is φ = 58100716800.

The previous prime is 220423332293. The next prime is 220423332379. The reversal of 220423332330 is 33233324022.

220423332330 is a `hidden beast` number, since 2 + 2 + 0 + 423 + 3 + 3 + 233 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220423332294 and 220423332303.

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, 3061950 + ... + 3133110.

It is an arithmetic number, because the mean of its divisors is an integer number (6039091968).

Almost surely, 2220423332330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220423332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289876414464).

220423332330 is an abundant number, since it is smaller than the sum of its proper divisors (359329496598).

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

220423332330 is a wasteful number, since it uses less digits than its factorization.

220423332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71572 (or 71569 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 220423332330 its reverse (33233324022), we get a palindrome (253656656352).

The spelling of 220423332330 in words is "two hundred twenty billion, four hundred twenty-three million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 271 381 542 635 762 813 1143 1270 1355 1626 1905 2286 2439 2710 3810 4065 4878 5715 8130 11430 12195 24390 34417 68834 71161 103251 142322 172085 206502 213483 309753 344170 355805 426966 516255 619506 640449 711610 1032510 1067415 1280898 1548765 2134830 3097530 3202245 6404490 9037447 18074894 19284631 27112341 38569262 45187235 54224682 57853893 81337023 90374470 96423155 115707786 135561705 162674046 173561679 192846310 271123410 289269465 347123358 406685115 578538930 813370230 867808395 1735616790 2449148137 4898296274 7347444411 12245740685 14694888822 22042333233 24491481370 36737222055 44084666466 73474444110 110211666165 220423332330