Search a number
-
+
220323032120 = 235175950910789
BaseRepresentation
bin1100110100110001000…
…1101010110000111000
3210001200200122200111202
43031030101222300320
512102210144011440
6245114235113332
721626544605342
oct3151421526070
9701620580452
10220323032120
1185490676014
12368498a2848
1317a128ca179
14a941254292
155ae774d615
hex334c46ac38

220323032120 has 128 divisors (see below), whose sum is σ = 534881880000. Its totient is φ = 81371553792.

The previous prime is 220323032099. The next prime is 220323032147. The reversal of 220323032120 is 21230323022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220323032092 and 220323032101.

It is a congruent number.

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, 20415686 + ... + 20426474.

Almost surely, 2220323032120 is an apocalyptic number.

220323032120 is a gapful number since it is divisible by the number (20) 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 220323032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267440940000).

220323032120 is an abundant number, since it is smaller than the sum of its proper divisors (314558847880).

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

220323032120 is a wasteful number, since it uses less digits than its factorization.

220323032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 220323032120 its reverse (21230323022), we get a palindrome (241553355142).

The spelling of 220323032120 in words is "two hundred twenty billion, three hundred twenty-three million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 509 590 680 1003 1018 1180 2006 2036 2360 2545 4012 4072 5015 5090 8024 8653 10030 10180 10789 17306 20060 20360 21578 30031 34612 40120 43156 43265 53945 60062 69224 86312 86530 107890 120124 150155 173060 183413 215780 240248 300310 346120 366826 431560 510527 600620 636551 733652 917065 1021054 1201240 1273102 1467304 1834130 2042108 2546204 2552635 3182755 3668260 4084216 5092408 5105270 5491601 6365510 7336520 10210540 10821367 10983202 12731020 20421080 21642734 21966404 25462040 27458005 43285468 43932808 54106835 54916010 86570936 93357217 108213670 109832020 186714434 216427340 219664040 324004459 373428868 432854680 466786085 648008918 746857736 933572170 1296017836 1620022295 1867144340 2592035672 3240044590 3734288680 5508075803 6480089180 11016151606 12960178360 22032303212 27540379015 44064606424 55080758030 110161516060 220323032120