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221134312014 = 237114746122091
BaseRepresentation
bin1100110111110010100…
…0011101001001001110
3210010210020012222022020
43031330220131021032
512110340340441024
6245330535431010
721655625432010
oct3157450351116
9703706188266
10221134312014
1185867610670
1236a35525466
1317b119cc345
14a9bacb81b0
155b43aa2979
hex337ca1d24e

221134312014 has 128 divisors (see below), whose sum is σ = 564378845184. Its totient is φ = 56090928000.

The previous prime is 221134311989. The next prime is 221134312027. The reversal of 221134312014 is 410213431122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9999109 + ... + 10021199.

It is an arithmetic number, because the mean of its divisors is an integer number (4409209728).

Almost surely, 2221134312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221134312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282189422592).

221134312014 is an abundant number, since it is smaller than the sum of its proper divisors (343244533170).

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

221134312014 is a wasteful number, since it uses less digits than its factorization.

221134312014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22622.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221134312014 its reverse (410213431122), we get a palindrome (631347743136).

The spelling of 221134312014 in words is "two hundred twenty-one billion, one hundred thirty-four million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 461 462 517 658 922 987 1034 1383 1551 1974 2766 3102 3227 3619 5071 6454 7238 9681 10142 10857 15213 19362 21667 21714 22091 30426 35497 43334 44182 65001 66273 70994 106491 130002 132546 151669 154637 212982 238337 243001 303338 309274 455007 463911 476674 486002 715011 729003 910014 927822 1038277 1430022 1458006 1668359 1701007 2076554 3114831 3336718 3402014 5005077 5103021 6229662 7267939 10010154 10183951 10206042 11421047 14535878 20367902 21803817 22842094 30551853 34263141 43607634 61103706 68526282 71287657 79947329 112023461 142575314 159894658 213862971 224046922 239841987 336070383 427725942 478645697 479683974 672140766 784164227 957291394 1435937091 1568328454 2352492681 2871874182 3350519879 4704985362 5265102667 6701039758 10051559637 10530205334 15795308001 20103119274 31590616002 36855718669 73711437338 110567156007 221134312014