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220243404140 = 225233171921481
BaseRepresentation
bin1100110100011110000…
…1111010010101101100
3210001111010211011110022
43031013201322111230
512102024302413030
6245102312301312
721624560021654
oct3150741722554
9701433734408
10220243404140
118544a729371
12368270a1838
13179cc26a216
14a934847364
155ae076ede5
hex334787a56c

220243404140 has 96 divisors (see below), whose sum is σ = 498904842240. Its totient is φ = 81431539200.

The previous prime is 220243404107. The next prime is 220243404179. The reversal of 220243404140 is 41404342022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10242200 + ... + 10263680.

It is an arithmetic number, because the mean of its divisors is an integer number (5196925440).

Almost surely, 2220243404140 is an apocalyptic number.

220243404140 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 220243404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249452421120).

220243404140 is an abundant number, since it is smaller than the sum of its proper divisors (278661438100).

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

220243404140 is a wasteful number, since it uses less digits than its factorization.

220243404140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22263 (or 22261 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 220243404140 its reverse (41404342022), we get a palindrome (261647746162).

The spelling of 220243404140 in words is "two hundred twenty billion, two hundred forty-three million, four hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 719 1426 1438 2852 2876 3565 3595 7130 7190 14260 14380 16537 21481 22289 33074 42962 44578 66148 82685 85924 89156 107405 111445 165370 214810 222890 330740 429620 445780 494063 512647 665911 988126 1025294 1331822 1976252 2050588 2470315 2563235 2663644 3329555 4940630 5126470 6659110 9881260 10252940 13318220 15315953 15444839 30631906 30889678 61263812 61779356 76579765 77224195 153159530 154448390 306319060 308896780 355231297 478790009 710462594 957580018 1420925188 1776156485 1915160036 2393950045 3552312970 4787900090 7104625940 9575800180 11012170207 22024340414 44048680828 55060851035 110121702070 220243404140