Search a number
-
+
220212301320 = 233351118536389
BaseRepresentation
bin1100110100010110101…
…1010000111000001000
3210001101222021222102000
43031011223100320020
512101443322120240
6245055241511000
721624031451124
oct3150553207010
9701358258360
10220212301320
1185434115360
12368187a2460
13179c599a29b
14a93066c584
155adcb79430
hex3345ad0e08

220212301320 has 128 divisors (see below), whose sum is σ = 800772048000. Its totient is φ = 53384797440.

The previous prime is 220212301297. The next prime is 220212301327. The reversal of 220212301320 is 23103212022.

220212301320 is a `hidden beast` number, since 2 + 20 + 21 + 2 + 301 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220212301293 and 220212301302.

It is not an unprimeable number, because it can be changed into a prime (220212301327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9256315 + ... + 9280074.

It is an arithmetic number, because the mean of its divisors is an integer number (6256031625).

Almost surely, 2220212301320 is an apocalyptic number.

220212301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212301320 is an abundant number, since it is smaller than the sum of its proper divisors (580559746680).

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

220212301320 is a wasteful number, since it uses less digits than its factorization.

220212301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18536420 (or 18536410 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220212301320 its reverse (23103212022), we get a palindrome (243315513342).

The spelling of 220212301320 in words is "two hundred twenty billion, two hundred twelve million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 18536389 37072778 55609167 74145556 92681945 111218334 148291112 166827501 185363890 203900279 222436668 278045835 333655002 370727780 407800558 444873336 500482503 556091670 611700837 667310004 741455560 815601116 834137505 1000965006 1019501395 1112183340 1223401674 1334620008 1631202232 1668275010 1835102511 2001930012 2039002790 2224366680 2446803348 2502412515 3058504185 3336550020 3670205022 4003860024 4078005580 4893606696 5004825030 5505307533 6117008370 6673100040 7340410044 8156011160 9175512555 10009650060 11010615066 12234016740 14680820088 18351025110 20019300120 22021230132 24468033480 27526537665 36702050220 44042460264 55053075330 73404100440 110106150660 220212301320