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220404344112 = 243331122313457
BaseRepresentation
bin1100110101000100011…
…1110110010100110000
3210001220100122202121000
43031101013312110300
512102342003002422
6245130302002000
721631553004501
oct3152107662460
9701810582530
10220404344112
1185522562a07
1236870b76300
1317a266c9784
14a94bd7cba8
155aee960cac
hex33511f6530

220404344112 has 160 divisors (see below), whose sum is σ = 653632450560. Its totient is φ = 71034762240.

The previous prime is 220404344059. The next prime is 220404344117. The reversal of 220404344112 is 211443404022.

220404344112 is a `hidden beast` number, since 2 + 204 + 0 + 4 + 3 + 441 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220404344117) 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, 16371688 + ... + 16385144.

It is an arithmetic number, because the mean of its divisors is an integer number (4085202816).

Almost surely, 2220404344112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220404344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326816225280).

220404344112 is an abundant number, since it is smaller than the sum of its proper divisors (433228106448).

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

220404344112 is a wasteful number, since it uses less digits than its factorization.

220404344112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14728 (or 14716 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 220404344112 its reverse (211443404022), we get a palindrome (431847748134).

The spelling of 220404344112 in words is "two hundred twenty billion, four hundred four million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1223 1488 1674 2232 2446 3348 3669 4464 4892 6696 7338 9784 11007 13392 13457 14676 19568 22014 26914 29352 33021 37913 40371 44028 53828 58704 66042 75826 80742 88056 107656 113739 121113 132084 151652 161484 176112 215312 227478 242226 264168 303304 322968 341217 363339 417167 454956 484452 528336 606608 645936 682434 726678 834334 909912 968904 1023651 1251501 1364868 1453356 1668668 1819824 1937808 2047302 2503002 2729736 2906712 3337336 3754503 4094604 5006004 5459472 5813424 6674672 7509006 8189208 10012008 11263509 15018012 16378416 16457911 20024016 22527018 30036024 32915822 45054036 49373733 60072048 65831644 90108072 98747466 131663288 148121199 180216144 197494932 263326576 296242398 394989864 444363597 510195241 592484796 789979728 888727194 1020390482 1184969592 1530585723 1777454388 2040780964 2369939184 3061171446 3554908776 4081561928 4591757169 6122342892 7109817552 8163123856 9183514338 12244685784 13775271507 18367028676 24489371568 27550543014 36734057352 55101086028 73468114704 110202172056 220404344112