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220327372272 = 243719191318041
BaseRepresentation
bin1100110100110010001…
…0001110010111110000
3210001200222211012002010
43031030202032113300
512102212301403042
6245114512122520
721626626523010
oct3151442162760
9701628735063
10220327372272
118549306a917
123684b236440
1317a137897c7
14a941a63c40
155ae7d0959c
hex334c88e5f0

220327372272 has 160 divisors (see below), whose sum is σ = 685122577920. Its totient is φ = 59603005440.

The previous prime is 220327372249. The next prime is 220327372303. The reversal of 220327372272 is 272273723022.

It is a self number, because there is not a number n which added to its sum of digits gives 220327372272.

It is a congruent 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, 12203572 + ... + 12221612.

It is an arithmetic number, because the mean of its divisors is an integer number (4282016112).

Almost surely, 2220327372272 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 220327372272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342561288960).

220327372272 is an abundant number, since it is smaller than the sum of its proper divisors (464795205648).

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

220327372272 is a wasteful number, since it uses less digits than its factorization.

220327372272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19991 (or 19985 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 39.

The spelling of 220327372272 in words is "two hundred twenty billion, three hundred twenty-seven million, three hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 1913 2128 3192 3826 5739 6384 7652 11478 13391 15304 18041 22956 26782 30608 36082 36347 40173 45912 53564 54123 72164 72694 80346 91824 107128 108246 109041 126287 144328 145388 160692 214256 216492 218082 252574 254429 288656 290776 321384 342779 378861 432984 436164 505148 508858 581552 642768 685558 757722 763287 865968 872328 1010296 1017716 1028337 1371116 1515444 1526574 1744656 2020592 2035432 2056674 2399453 2742232 3030888 3053148 4070864 4113348 4798906 5484464 6061776 6106296 7198359 8226696 9597812 12212592 14396718 16453392 19195624 28793436 34512433 38391248 57586872 69024866 103537299 115173744 138049732 207074598 241587031 276099464 414149196 483174062 552198928 655736227 724761093 828298392 966348124 1311472454 1449522186 1656596784 1932696248 1967208681 2622944908 2899044372 3865392496 3934417362 4590153589 5245889816 5798088744 7868834724 9180307178 10491779632 11596177488 13770460767 15737669448 18360614356 27540921534 31475338896 36721228712 55081843068 73442457424 110163686136 220327372272